diff --git a/notebooks/evaluation_2024.03/epi_scenario1/epi_eval_sc1_strains.ipynb b/notebooks/evaluation_2024.03/epi_scenario1/epi_eval_sc1_strains.ipynb
index 5bed5422..9c7b2096 100644
--- a/notebooks/evaluation_2024.03/epi_scenario1/epi_eval_sc1_strains.ipynb
+++ b/notebooks/evaluation_2024.03/epi_scenario1/epi_eval_sc1_strains.ipynb
@@ -12,7 +12,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "fe970922-3aa4-40b5-9caf-4afc08cef04d",
+   "id": "b1d20fb5-6925-4bda-b652-f9281d8c5ba4",
    "metadata": {},
    "outputs": [
     {
@@ -30,14 +30,37 @@
    "source": [
     "# Get an ready-made example SIR model that has parameters and initial values already set\n",
     "# (note that the model is missing units)\n",
-    "from mira.examples.sir import sir_parameterized_init\n",
+    "from mira.examples.sir import sir_parameterized_init, sir_init_val_norm\n",
     "from mira.metamodel import *\n",
     "\n",
     "susceptible = sir_parameterized_init.get_concepts_name_map()['susceptible_population']\n",
     "infected = sir_parameterized_init.get_concepts_name_map()['infected_population']\n",
     "recovered = sir_parameterized_init.get_concepts_name_map()['immune_population']\n",
     "\n",
-    "sir_parameterized_init.draw_jupyter()\n"
+    "sir_parameterized_init.draw_jupyter()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "def6891b-4dac-4216-842f-705b8efdf36f",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "{'susceptible_population': Initial(concept=Concept(name='susceptible_population', display_name=None, description=None, identifiers={'ido': '0000514'}, context={}, units=Unit(expression=person)), expression=99999.0),\n",
+       " 'infected_population': Initial(concept=Concept(name='infected_population', display_name=None, description=None, identifiers={'ido': '0000511'}, context={}, units=Unit(expression=person)), expression=1),\n",
+       " 'immune_population': Initial(concept=Concept(name='immune_population', display_name=None, description=None, identifiers={'ido': '0000592'}, context={}, units=Unit(expression=person)), expression=0)}"
+      ]
+     },
+     "execution_count": 2,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "sir_parameterized_init.initials"
    ]
   },
   {
@@ -51,7 +74,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 3,
    "id": "745c1649-8e91-42f8-a931-766c51ed1f5e",
    "metadata": {},
    "outputs": [
@@ -62,7 +85,7 @@
        "<IPython.core.display.Image object>"
       ]
      },
-     "execution_count": 2,
+     "execution_count": 3,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -77,11 +100,36 @@
     "    key='strain', \n",
     "    strata=strains, \n",
     "    concepts_to_preserve=['susceptible_population'], \n",
-    "    structure=[]\n",
+    "    structure=[],\n",
     ")\n",
     "strain_model.draw_jupyter(\"sir.png\")"
    ]
   },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "32077ecc-7cf4-4c49-a449-44b80844beaa",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "susceptible_population 99999.0\n",
+      "infected_population_alpha 1/3\n",
+      "infected_population_delta 1/3\n",
+      "infected_population_omicron 1/3\n",
+      "immune_population_alpha 0\n",
+      "immune_population_delta 0\n",
+      "immune_population_omicron 0\n"
+     ]
+    }
+   ],
+   "source": [
+    "for name, init in strain_model.initials.items():\n",
+    "    print(name, init.expression)"
+   ]
+  },
   {
    "cell_type": "markdown",
    "id": "e1a19ab7-6ba5-4d2f-9dd8-bc50532deb8c",
@@ -93,61 +141,93 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 5,
    "id": "237f6485-1960-4127-bdb1-9e160bac74b6",
    "metadata": {},
    "outputs": [],
    "source": [
+    "initials = {}\n",
+    "\n",
+    "# Reset the infected populations to 1 (they're set to 1/3 when stratified)\n",
+    "initials['susceptible_population'] = Initial(concept=Concept(name='susceptible_population'), expression=sir_init_val_norm - 3.0)\n",
+    "\n",
+    "name_map = strain_model.get_concepts_name_map()\n",
+    "\n",
     "infected_alpha = strain_model.get_concepts_name_map()['infected_population_alpha']\n",
+    "initials[infected_alpha.name] = Initial(concept=Concept(name=infected_alpha.name), expression=1.0)\n",
+    "\n",
     "infected_delta = strain_model.get_concepts_name_map()['infected_population_delta']\n",
+    "initials[infected_delta.name] = Initial(concept=Concept(name=infected_delta.name), expression=1.0)\n",
+    "\n",
     "infected_omicron = strain_model.get_concepts_name_map()['infected_population_omicron']\n",
+    "initials[infected_omicron.name] = Initial(concept=Concept(name=infected_omicron.name), expression=1.0)\n",
+    "\n",
     "recovered_alpha = strain_model.get_concepts_name_map()['immune_population_alpha']\n",
     "recovered_delta = strain_model.get_concepts_name_map()['immune_population_delta']\n",
     "recovered_omicron = strain_model.get_concepts_name_map()['immune_population_omicron']\n",
     "\n",
-    "# Get reinfected states and reinfected recovered states\n",
+    "# Get reinfected states and reinfected recovered states, set all initials to zero\n",
     "# alpha delta/delta alpha\n",
     "infected_alpha_delta = infected.with_context(history='alpha', strain='delta')\n",
     "infected_alpha_delta.name = 'infected_population_alpha_delta'\n",
+    "initials[infected_alpha_delta.name] = Initial(concept=Concept(name=infected_alpha_delta.name), expression=0.0)\n",
+    "\n",
     "infected_delta_alpha = infected.with_context(history='delta', strain='alpha')\n",
     "infected_delta_alpha.name = 'infected_population_delta_alpha'\n",
+    "initials[infected_delta_alpha.name] = Initial(concept=Concept(name=infected_delta_alpha.name), expression=0.0)\n",
+    "\n",
     "recovered_alpha_delta = recovered.with_context(history='alpha_delta')\n",
     "recovered_alpha_delta.name = 'immune_population_alpha_delta'\n",
+    "initials[recovered_alpha_delta.name] = Initial(concept=Concept(name=recovered_alpha_delta.name), expression=0.0)\n",
     "\n",
     "# alpha omicron/omicron alpha\n",
     "infected_alpha_omicron = infected.with_context(history='alpha', strain='omicron')\n",
     "infected_alpha_omicron.name = 'infected_population_alpha_omicron'\n",
+    "initials[infected_alpha_omicron.name] = Initial(concept=Concept(name=infected_alpha_omicron.name), expression=0.0)\n",
+    "\n",
     "infected_omicron_alpha = infected.with_context(history='omicron', strain='alpha')\n",
     "infected_omicron_alpha.name = 'infected_population_omicron_alpha'\n",
+    "initials[infected_omicron_alpha.name] = Initial(concept=Concept(name=infected_omicron_alpha.name), expression=0.0)\n",
+    "\n",
     "recovered_alpha_omicron = recovered.with_context(history='alpha_omicron')\n",
     "recovered_alpha_omicron.name = 'immune_population_alpha_omicron'\n",
+    "initials[recovered_alpha_omicron.name] = Initial(concept=Concept(name=recovered_alpha_omicron.name), expression=0.0)\n",
     "\n",
     "# delta omicron/omicron delta\n",
     "infected_delta_omicron = infected.with_context(history='delta', strain='omicron')\n",
     "infected_delta_omicron.name = 'infected_population_delta_omicron'\n",
+    "initials[infected_delta_omicron.name] = Initial(concept=Concept(name=infected_delta_omicron.name), expression=0.0)\n",
+    "\n",
     "infected_omicron_delta = infected.with_context(history='omicron', strain='delta')\n",
     "infected_omicron_delta.name = 'infected_population_omicron_delta'\n",
+    "initials[infected_omicron_delta.name] = Initial(concept=Concept(name=infected_omicron_delta.name), expression=0.0)\n",
+    "\n",
     "recovered_delta_omicron = recovered.with_context(strain='delta_omicron')\n",
     "recovered_delta_omicron.name = 'immune_population_delta_omicron'\n",
+    "initials[recovered_delta_omicron.name] = Initial(concept=Concept(name=recovered_delta_omicron.name), expression=0.0)\n",
     "\n",
     "# alpha delta omicron (third and final infection for any branch)\n",
     "infected_alpha_delta_omicron = infected.with_context(history='alpha_delta', strain='omicron')\n",
     "infected_alpha_delta_omicron.name = 'infected_population_alpha_delta_omicron'\n",
+    "initials[infected_alpha_delta_omicron.name] = Initial(concept=Concept(name=infected_alpha_delta_omicron.name), expression=0.0)\n",
     "\n",
     "infected_alpha_omicron_delta = infected.with_context(history='alpha_omicron', strain='delta')\n",
     "infected_alpha_omicron_delta.name = 'infected_population_alpha_omicron_delta'\n",
+    "initials[infected_alpha_omicron_delta.name] = Initial(concept=Concept(name=infected_alpha_omicron_delta.name), expression=0.0)\n",
     "\n",
     "infected_delta_omicron_alpha = infected.with_context(history='delta_omicron', strain='alpha')\n",
     "infected_delta_omicron_alpha.name = 'infected_population_delta_omicron_alpha'\n",
+    "initials[infected_delta_omicron_alpha.name] = Initial(concept=Concept(name=infected_delta_omicron_alpha.name), expression=0.0)\n",
     "\n",
     "recovered_alpha_delta_omicron = recovered.with_context(history='alpha_delta_omicron')\n",
-    "recovered_alpha_delta_omicron.name = 'immune_population_alpha_delta_omicron'"
+    "recovered_alpha_delta_omicron.name = 'immune_population_alpha_delta_omicron'\n",
+    "initials[recovered_alpha_delta_omicron.name] = Initial(concept=Concept(name=recovered_alpha_delta_omicron.name), expression=0.0)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
-   "id": "29221f5e-3b2b-425e-8186-1bb63f8aa54d",
+   "execution_count": 6,
+   "id": "2944a12c-f3ad-48a7-a5df-af4030fee31e",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -252,14 +332,53 @@
     "            new_parameters[param_name_rec] = Parameter(name=param_name, value=1)\n",
     "            new_templates.append(nc)\n",
     "\n",
-    "extenstion_tm = TemplateModel(templates=new_templates, parameters=new_parameters)\n",
+    "extenstion_tm = TemplateModel(templates=new_templates, parameters=new_parameters, initials=initials)\n",
     "\n",
-    "total_tm = strain_model.extend(extenstion_tm, parameter_mapping=new_parameters)"
+    "total_tm = strain_model.extend(extenstion_tm, parameter_mapping=new_parameters, initial_mapping=initials)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 7,
+   "id": "98642a20-9e02-4272-990b-5c3424713d75",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "susceptible_population 99997.0\n",
+      "infected_population_alpha 1.0\n",
+      "infected_population_delta 1.0\n",
+      "infected_population_omicron 1.0\n",
+      "immune_population_alpha 0\n",
+      "immune_population_delta 0\n",
+      "immune_population_omicron 0\n",
+      "infected_population_alpha_delta 0.0\n",
+      "immune_population_alpha_delta 0.0\n",
+      "infected_population_omicron_delta 0.0\n",
+      "infected_population_alpha_omicron_delta 0.0\n",
+      "immune_population_delta_omicron 0.0\n",
+      "immune_population_alpha_omicron 0.0\n",
+      "immune_population_alpha_delta_omicron 0.0\n",
+      "infected_population_delta_alpha 0.0\n",
+      "infected_population_omicron_alpha 0.0\n",
+      "infected_population_delta_omicron_alpha 0.0\n",
+      "infected_population_alpha_omicron 0.0\n",
+      "infected_population_delta_omicron 0.0\n",
+      "infected_population_alpha_delta_omicron 0.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "for name in total_tm.get_concepts_name_map():\n",
+    "    assert name in total_tm.initials\n",
+    "    print(name, total_tm.initials[name].expression)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
    "id": "8e82cfe8-a12c-43fa-b62c-93e0c1b4afc1",
    "metadata": {},
    "outputs": [
@@ -270,7 +389,7 @@
        "<IPython.core.display.Image object>"
       ]
      },
-     "execution_count": 5,
+     "execution_count": 8,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -284,7 +403,7 @@
     "        ('petrinet', template_model_to_petrinet_json)\n",
     "]:\n",
     "    with open(f\"sir_3strain_{out_type}.json\", 'w') as f:\n",
-    "        json.dump(out_fun(total_tm), f, indent=2)\n",
+    "        json.dump(out_fun(total_tm), f, indent=1)\n",
     "total_tm.draw_jupyter(\"sir_3strain.png\")"
    ]
   }
diff --git a/notebooks/evaluation_2024.03/epi_scenario1/sir_3strain_petrinet.json b/notebooks/evaluation_2024.03/epi_scenario1/sir_3strain_petrinet.json
index f7da5eed..f34a93de 100644
--- a/notebooks/evaluation_2024.03/epi_scenario1/sir_3strain_petrinet.json
+++ b/notebooks/evaluation_2024.03/epi_scenario1/sir_3strain_petrinet.json
@@ -1,1540 +1,2064 @@
 {
-  "header": {
-    "name": "Model",
-    "schema": "https://raw.githubusercontent.com/DARPA-ASKEM/Model-Representations/petrinet_v0.6/petrinet/petrinet_schema.json",
-    "schema_name": "petrinet",
-    "description": "Model",
-    "model_version": "0.1"
-  },
-  "properties": {},
-  "model": {
-    "states": [
-      {
-        "id": "susceptible_population",
-        "name": "susceptible_population",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000514"
-          },
-          "modifiers": {}
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "infected_population_alpha",
-        "name": "infected_population_alpha",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "modifiers": {
-            "strain": "alpha"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "infected_population_delta",
-        "name": "infected_population_delta",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "modifiers": {
-            "strain": "delta"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "infected_population_omicron",
-        "name": "infected_population_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "modifiers": {
-            "strain": "omicron"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "immune_population_alpha",
-        "name": "immune_population_alpha",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "modifiers": {
-            "strain": "alpha"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "immune_population_delta",
-        "name": "immune_population_delta",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "modifiers": {
-            "strain": "delta"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "immune_population_omicron",
-        "name": "immune_population_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "modifiers": {
-            "strain": "omicron"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "infected_population_alpha_delta",
-        "name": "infected_population_alpha_delta",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "modifiers": {
-            "history": "alpha",
-            "strain": "delta"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "immune_population_alpha_delta",
-        "name": "immune_population_alpha_delta",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "modifiers": {
-            "history": "alpha_delta"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "infected_population_omicron_delta",
-        "name": "infected_population_omicron_delta",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "modifiers": {
-            "history": "omicron",
-            "strain": "delta"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "infected_population_alpha_omicron_delta",
-        "name": "infected_population_alpha_omicron_delta",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "modifiers": {
-            "history": "alpha_omicron",
-            "strain": "delta"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "immune_population_delta_omicron",
-        "name": "immune_population_delta_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "modifiers": {
-            "strain": "delta_omicron"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "immune_population_alpha_omicron",
-        "name": "immune_population_alpha_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "modifiers": {
-            "history": "alpha_omicron"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "immune_population_alpha_delta_omicron",
-        "name": "immune_population_alpha_delta_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "modifiers": {
-            "history": "alpha_delta_omicron"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "infected_population_delta_alpha",
-        "name": "infected_population_delta_alpha",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "modifiers": {
-            "history": "delta",
-            "strain": "alpha"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "infected_population_omicron_alpha",
-        "name": "infected_population_omicron_alpha",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "modifiers": {
-            "history": "omicron",
-            "strain": "alpha"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "infected_population_delta_omicron_alpha",
-        "name": "infected_population_delta_omicron_alpha",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "modifiers": {
-            "history": "delta_omicron",
-            "strain": "alpha"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "infected_population_alpha_omicron",
-        "name": "infected_population_alpha_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "modifiers": {
-            "history": "alpha",
-            "strain": "omicron"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "infected_population_delta_omicron",
-        "name": "infected_population_delta_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "modifiers": {
-            "history": "delta",
-            "strain": "omicron"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      },
-      {
-        "id": "infected_population_alpha_delta_omicron",
-        "name": "infected_population_alpha_delta_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "modifiers": {
-            "history": "alpha_delta",
-            "strain": "omicron"
-          }
-        },
-        "units": {
-          "expression": "person",
-          "expression_mathml": "<ci>person</ci>"
-        }
-      }
-    ],
-    "transitions": [
-      {
-        "id": "t1",
-        "input": [
-          "infected_population_alpha",
-          "susceptible_population"
-        ],
-        "output": [
-          "infected_population_alpha",
-          "infected_population_alpha"
-        ],
-        "properties": {
-          "name": "t1"
-        }
-      },
-      {
-        "id": "t2",
-        "input": [
-          "infected_population_delta",
-          "susceptible_population"
-        ],
-        "output": [
-          "infected_population_delta",
-          "infected_population_delta"
-        ],
-        "properties": {
-          "name": "t2"
-        }
-      },
-      {
-        "id": "t3",
-        "input": [
-          "infected_population_omicron",
-          "susceptible_population"
-        ],
-        "output": [
-          "infected_population_omicron",
-          "infected_population_omicron"
-        ],
-        "properties": {
-          "name": "t3"
-        }
-      },
-      {
-        "id": "t4",
-        "input": [
-          "infected_population_alpha"
-        ],
-        "output": [
-          "immune_population_alpha"
-        ],
-        "properties": {
-          "name": "t4"
-        }
-      },
-      {
-        "id": "t5",
-        "input": [
-          "infected_population_delta"
-        ],
-        "output": [
-          "immune_population_delta"
-        ],
-        "properties": {
-          "name": "t5"
-        }
-      },
-      {
-        "id": "t6",
-        "input": [
-          "infected_population_omicron"
-        ],
-        "output": [
-          "immune_population_omicron"
-        ],
-        "properties": {
-          "name": "t6"
-        }
-      },
-      {
-        "id": "t7",
-        "input": [
-          "infected_population_delta",
-          "immune_population_alpha"
-        ],
-        "output": [
-          "infected_population_delta",
-          "infected_population_alpha_delta"
-        ],
-        "properties": {
-          "name": "t7"
-        }
-      },
-      {
-        "id": "t8",
-        "input": [
-          "infected_population_alpha_delta"
-        ],
-        "output": [
-          "immune_population_alpha_delta"
-        ],
-        "properties": {
-          "name": "t8"
-        }
-      },
-      {
-        "id": "t9",
-        "input": [
-          "infected_population_alpha_delta",
-          "immune_population_alpha"
-        ],
-        "output": [
-          "infected_population_alpha_delta",
-          "infected_population_alpha_delta"
-        ],
-        "properties": {
-          "name": "t9"
-        }
-      },
-      {
-        "id": "t10",
-        "input": [
-          "infected_population_omicron_delta",
-          "immune_population_alpha"
-        ],
-        "output": [
-          "infected_population_omicron_delta",
-          "infected_population_alpha_delta"
-        ],
-        "properties": {
-          "name": "t10"
-        }
-      },
-      {
-        "id": "t11",
-        "input": [
-          "infected_population_alpha_omicron_delta",
-          "immune_population_alpha"
-        ],
-        "output": [
-          "infected_population_alpha_omicron_delta",
-          "infected_population_alpha_delta"
-        ],
-        "properties": {
-          "name": "t11"
-        }
-      },
-      {
-        "id": "t12",
-        "input": [
-          "infected_population_delta",
-          "immune_population_omicron"
-        ],
-        "output": [
-          "infected_population_delta",
-          "infected_population_omicron_delta"
-        ],
-        "properties": {
-          "name": "t12"
-        }
-      },
-      {
-        "id": "t13",
-        "input": [
-          "infected_population_omicron_delta"
-        ],
-        "output": [
-          "immune_population_delta_omicron"
-        ],
-        "properties": {
-          "name": "t13"
-        }
-      },
-      {
-        "id": "t14",
-        "input": [
-          "infected_population_alpha_delta",
-          "immune_population_omicron"
-        ],
-        "output": [
-          "infected_population_alpha_delta",
-          "infected_population_omicron_delta"
-        ],
-        "properties": {
-          "name": "t14"
-        }
-      },
-      {
-        "id": "t15",
-        "input": [
-          "infected_population_omicron_delta",
-          "immune_population_omicron"
-        ],
-        "output": [
-          "infected_population_omicron_delta",
-          "infected_population_omicron_delta"
-        ],
-        "properties": {
-          "name": "t15"
-        }
-      },
-      {
-        "id": "t16",
-        "input": [
-          "infected_population_alpha_omicron_delta",
-          "immune_population_omicron"
-        ],
-        "output": [
-          "infected_population_alpha_omicron_delta",
-          "infected_population_omicron_delta"
-        ],
-        "properties": {
-          "name": "t16"
-        }
-      },
-      {
-        "id": "t17",
-        "input": [
-          "infected_population_delta",
-          "immune_population_alpha_omicron"
-        ],
-        "output": [
-          "infected_population_delta",
-          "infected_population_alpha_omicron_delta"
-        ],
-        "properties": {
-          "name": "t17"
-        }
-      },
-      {
-        "id": "t18",
-        "input": [
-          "infected_population_alpha_omicron_delta"
-        ],
-        "output": [
-          "immune_population_alpha_delta_omicron"
-        ],
-        "properties": {
-          "name": "t18"
-        }
-      },
-      {
-        "id": "t19",
-        "input": [
-          "infected_population_alpha_delta",
-          "immune_population_alpha_omicron"
-        ],
-        "output": [
-          "infected_population_alpha_delta",
-          "infected_population_alpha_omicron_delta"
-        ],
-        "properties": {
-          "name": "t19"
-        }
-      },
-      {
-        "id": "t20",
-        "input": [
-          "infected_population_omicron_delta",
-          "immune_population_alpha_omicron"
-        ],
-        "output": [
-          "infected_population_omicron_delta",
-          "infected_population_alpha_omicron_delta"
-        ],
-        "properties": {
-          "name": "t20"
-        }
-      },
-      {
-        "id": "t21",
-        "input": [
-          "infected_population_alpha_omicron_delta",
-          "immune_population_alpha_omicron"
-        ],
-        "output": [
-          "infected_population_alpha_omicron_delta",
-          "infected_population_alpha_omicron_delta"
-        ],
-        "properties": {
-          "name": "t21"
-        }
-      },
-      {
-        "id": "t22",
-        "input": [
-          "infected_population_alpha",
-          "immune_population_delta"
-        ],
-        "output": [
-          "infected_population_alpha",
-          "infected_population_delta_alpha"
-        ],
-        "properties": {
-          "name": "t22"
-        }
-      },
-      {
-        "id": "t23",
-        "input": [
-          "infected_population_delta_alpha"
-        ],
-        "output": [
-          "immune_population_alpha_delta"
-        ],
-        "properties": {
-          "name": "t23"
-        }
-      },
-      {
-        "id": "t24",
-        "input": [
-          "infected_population_delta_alpha",
-          "immune_population_delta"
-        ],
-        "output": [
-          "infected_population_delta_alpha",
-          "infected_population_delta_alpha"
-        ],
-        "properties": {
-          "name": "t24"
-        }
-      },
-      {
-        "id": "t25",
-        "input": [
-          "infected_population_omicron_alpha",
-          "immune_population_delta"
-        ],
-        "output": [
-          "infected_population_omicron_alpha",
-          "infected_population_delta_alpha"
-        ],
-        "properties": {
-          "name": "t25"
-        }
-      },
-      {
-        "id": "t26",
-        "input": [
-          "infected_population_delta_omicron_alpha",
-          "immune_population_delta"
-        ],
-        "output": [
-          "infected_population_delta_omicron_alpha",
-          "infected_population_delta_alpha"
-        ],
-        "properties": {
-          "name": "t26"
-        }
-      },
-      {
-        "id": "t27",
-        "input": [
-          "infected_population_alpha",
-          "immune_population_omicron"
-        ],
-        "output": [
-          "infected_population_alpha",
-          "infected_population_omicron_alpha"
-        ],
-        "properties": {
-          "name": "t27"
-        }
-      },
-      {
-        "id": "t28",
-        "input": [
-          "infected_population_omicron_alpha"
-        ],
-        "output": [
-          "immune_population_alpha_omicron"
-        ],
-        "properties": {
-          "name": "t28"
-        }
-      },
-      {
-        "id": "t29",
-        "input": [
-          "infected_population_delta_alpha",
-          "immune_population_omicron"
-        ],
-        "output": [
-          "infected_population_delta_alpha",
-          "infected_population_omicron_alpha"
-        ],
-        "properties": {
-          "name": "t29"
-        }
-      },
-      {
-        "id": "t30",
-        "input": [
-          "infected_population_omicron_alpha",
-          "immune_population_omicron"
-        ],
-        "output": [
-          "infected_population_omicron_alpha",
-          "infected_population_omicron_alpha"
-        ],
-        "properties": {
-          "name": "t30"
-        }
-      },
-      {
-        "id": "t31",
-        "input": [
-          "infected_population_delta_omicron_alpha",
-          "immune_population_omicron"
-        ],
-        "output": [
-          "infected_population_delta_omicron_alpha",
-          "infected_population_omicron_alpha"
-        ],
-        "properties": {
-          "name": "t31"
-        }
-      },
-      {
-        "id": "t32",
-        "input": [
-          "infected_population_alpha",
-          "immune_population_delta_omicron"
-        ],
-        "output": [
-          "infected_population_alpha",
-          "infected_population_delta_omicron_alpha"
-        ],
-        "properties": {
-          "name": "t32"
-        }
-      },
-      {
-        "id": "t33",
-        "input": [
-          "infected_population_delta_omicron_alpha"
-        ],
-        "output": [
-          "immune_population_alpha_delta_omicron"
-        ],
-        "properties": {
-          "name": "t33"
-        }
-      },
-      {
-        "id": "t34",
-        "input": [
-          "infected_population_delta_alpha",
-          "immune_population_delta_omicron"
-        ],
-        "output": [
-          "infected_population_delta_alpha",
-          "infected_population_delta_omicron_alpha"
-        ],
-        "properties": {
-          "name": "t34"
-        }
-      },
-      {
-        "id": "t35",
-        "input": [
-          "infected_population_omicron_alpha",
-          "immune_population_delta_omicron"
-        ],
-        "output": [
-          "infected_population_omicron_alpha",
-          "infected_population_delta_omicron_alpha"
-        ],
-        "properties": {
-          "name": "t35"
-        }
-      },
-      {
-        "id": "t36",
-        "input": [
-          "infected_population_delta_omicron_alpha",
-          "immune_population_delta_omicron"
-        ],
-        "output": [
-          "infected_population_delta_omicron_alpha",
-          "infected_population_delta_omicron_alpha"
-        ],
-        "properties": {
-          "name": "t36"
-        }
-      },
-      {
-        "id": "t37",
-        "input": [
-          "infected_population_omicron",
-          "immune_population_alpha"
-        ],
-        "output": [
-          "infected_population_omicron",
-          "infected_population_alpha_omicron"
-        ],
-        "properties": {
-          "name": "t37"
-        }
-      },
-      {
-        "id": "t38",
-        "input": [
-          "infected_population_alpha_omicron"
-        ],
-        "output": [
-          "immune_population_alpha_omicron"
-        ],
-        "properties": {
-          "name": "t38"
-        }
-      },
-      {
-        "id": "t39",
-        "input": [
-          "infected_population_alpha_omicron",
-          "immune_population_alpha"
-        ],
-        "output": [
-          "infected_population_alpha_omicron",
-          "infected_population_alpha_omicron"
-        ],
-        "properties": {
-          "name": "t39"
-        }
-      },
-      {
-        "id": "t40",
-        "input": [
-          "infected_population_delta_omicron",
-          "immune_population_alpha"
-        ],
-        "output": [
-          "infected_population_delta_omicron",
-          "infected_population_alpha_omicron"
-        ],
-        "properties": {
-          "name": "t40"
-        }
-      },
-      {
-        "id": "t41",
-        "input": [
-          "infected_population_alpha_delta_omicron",
-          "immune_population_alpha"
-        ],
-        "output": [
-          "infected_population_alpha_delta_omicron",
-          "infected_population_alpha_omicron"
-        ],
-        "properties": {
-          "name": "t41"
-        }
-      },
-      {
-        "id": "t42",
-        "input": [
-          "infected_population_omicron",
-          "immune_population_delta"
-        ],
-        "output": [
-          "infected_population_omicron",
-          "infected_population_delta_omicron"
-        ],
-        "properties": {
-          "name": "t42"
-        }
-      },
-      {
-        "id": "t43",
-        "input": [
-          "infected_population_delta_omicron"
-        ],
-        "output": [
-          "immune_population_delta_omicron"
-        ],
-        "properties": {
-          "name": "t43"
-        }
-      },
-      {
-        "id": "t44",
-        "input": [
-          "infected_population_alpha_omicron",
-          "immune_population_delta"
-        ],
-        "output": [
-          "infected_population_alpha_omicron",
-          "infected_population_delta_omicron"
-        ],
-        "properties": {
-          "name": "t44"
-        }
-      },
-      {
-        "id": "t45",
-        "input": [
-          "infected_population_delta_omicron",
-          "immune_population_delta"
-        ],
-        "output": [
-          "infected_population_delta_omicron",
-          "infected_population_delta_omicron"
-        ],
-        "properties": {
-          "name": "t45"
-        }
-      },
-      {
-        "id": "t46",
-        "input": [
-          "infected_population_alpha_delta_omicron",
-          "immune_population_delta"
-        ],
-        "output": [
-          "infected_population_alpha_delta_omicron",
-          "infected_population_delta_omicron"
-        ],
-        "properties": {
-          "name": "t46"
-        }
-      },
-      {
-        "id": "t47",
-        "input": [
-          "infected_population_omicron",
-          "immune_population_alpha_delta"
-        ],
-        "output": [
-          "infected_population_omicron",
-          "infected_population_alpha_delta_omicron"
-        ],
-        "properties": {
-          "name": "t47"
-        }
-      },
-      {
-        "id": "t48",
-        "input": [
-          "infected_population_alpha_delta_omicron"
-        ],
-        "output": [
-          "immune_population_alpha_delta_omicron"
-        ],
-        "properties": {
-          "name": "t48"
-        }
-      },
-      {
-        "id": "t49",
-        "input": [
-          "infected_population_alpha_omicron",
-          "immune_population_alpha_delta"
-        ],
-        "output": [
-          "infected_population_alpha_omicron",
-          "infected_population_alpha_delta_omicron"
-        ],
-        "properties": {
-          "name": "t49"
-        }
-      },
-      {
-        "id": "t50",
-        "input": [
-          "infected_population_delta_omicron",
-          "immune_population_alpha_delta"
-        ],
-        "output": [
-          "infected_population_delta_omicron",
-          "infected_population_alpha_delta_omicron"
-        ],
-        "properties": {
-          "name": "t50"
-        }
-      },
-      {
-        "id": "t51",
-        "input": [
-          "infected_population_alpha_delta_omicron",
-          "immune_population_alpha_delta"
-        ],
-        "output": [
-          "infected_population_alpha_delta_omicron",
-          "infected_population_alpha_delta_omicron"
-        ],
-        "properties": {
-          "name": "t51"
-        }
-      }
-    ]
-  },
-  "semantics": {
-    "ode": {
-      "rates": [
-        {
-          "target": "t1",
-          "expression": "beta_0*infected_population_alpha*susceptible_population",
-          "expression_mathml": "<apply><times/><ci>beta_0</ci><ci>infected_population_alpha</ci><ci>susceptible_population</ci></apply>"
-        },
-        {
-          "target": "t2",
-          "expression": "beta_1*infected_population_delta*susceptible_population",
-          "expression_mathml": "<apply><times/><ci>beta_1</ci><ci>infected_population_delta</ci><ci>susceptible_population</ci></apply>"
-        },
-        {
-          "target": "t3",
-          "expression": "beta_2*infected_population_omicron*susceptible_population",
-          "expression_mathml": "<apply><times/><ci>beta_2</ci><ci>infected_population_omicron</ci><ci>susceptible_population</ci></apply>"
-        },
-        {
-          "target": "t4",
-          "expression": "gamma_0*infected_population_alpha",
-          "expression_mathml": "<apply><times/><ci>gamma_0</ci><ci>infected_population_alpha</ci></apply>"
-        },
-        {
-          "target": "t5",
-          "expression": "gamma_1*infected_population_delta",
-          "expression_mathml": "<apply><times/><ci>gamma_1</ci><ci>infected_population_delta</ci></apply>"
-        },
-        {
-          "target": "t6",
-          "expression": "gamma_2*infected_population_omicron",
-          "expression_mathml": "<apply><times/><ci>gamma_2</ci><ci>infected_population_omicron</ci></apply>"
-        },
-        {
-          "target": "t7",
-          "expression": "beta_alpha_delta*immune_population_alpha*infected_population_delta",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_delta</ci><ci>immune_population_alpha</ci><ci>infected_population_delta</ci></apply>"
-        },
-        {
-          "target": "t8",
-          "expression": "gamma_delta*infected_population_alpha_delta",
-          "expression_mathml": "<apply><times/><ci>gamma_delta</ci><ci>infected_population_alpha_delta</ci></apply>"
-        },
-        {
-          "target": "t9",
-          "expression": "beta_alpha_alpha_delta*immune_population_alpha*infected_population_alpha_delta",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_alpha_delta</ci><ci>immune_population_alpha</ci><ci>infected_population_alpha_delta</ci></apply>"
-        },
-        {
-          "target": "t10",
-          "expression": "beta_alpha_omicron_delta*immune_population_alpha*infected_population_omicron_delta",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_omicron_delta</ci><ci>immune_population_alpha</ci><ci>infected_population_omicron_delta</ci></apply>"
-        },
-        {
-          "target": "t11",
-          "expression": "beta_alpha_alpha_omicron_delta*immune_population_alpha*infected_population_alpha_omicron_delta",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_alpha_omicron_delta</ci><ci>immune_population_alpha</ci><ci>infected_population_alpha_omicron_delta</ci></apply>"
-        },
-        {
-          "target": "t12",
-          "expression": "beta_omicron_delta*immune_population_omicron*infected_population_delta",
-          "expression_mathml": "<apply><times/><ci>beta_omicron_delta</ci><ci>immune_population_omicron</ci><ci>infected_population_delta</ci></apply>"
-        },
-        {
-          "target": "t13",
-          "expression": "gamma_delta*infected_population_omicron_delta",
-          "expression_mathml": "<apply><times/><ci>gamma_delta</ci><ci>infected_population_omicron_delta</ci></apply>"
-        },
-        {
-          "target": "t14",
-          "expression": "beta_omicron_alpha_delta*immune_population_omicron*infected_population_alpha_delta",
-          "expression_mathml": "<apply><times/><ci>beta_omicron_alpha_delta</ci><ci>immune_population_omicron</ci><ci>infected_population_alpha_delta</ci></apply>"
-        },
-        {
-          "target": "t15",
-          "expression": "beta_omicron_omicron_delta*immune_population_omicron*infected_population_omicron_delta",
-          "expression_mathml": "<apply><times/><ci>beta_omicron_omicron_delta</ci><ci>immune_population_omicron</ci><ci>infected_population_omicron_delta</ci></apply>"
-        },
-        {
-          "target": "t16",
-          "expression": "beta_omicron_alpha_omicron_delta*immune_population_omicron*infected_population_alpha_omicron_delta",
-          "expression_mathml": "<apply><times/><ci>beta_omicron_alpha_omicron_delta</ci><ci>immune_population_omicron</ci><ci>infected_population_alpha_omicron_delta</ci></apply>"
-        },
-        {
-          "target": "t17",
-          "expression": "beta_alpha_omicron_delta*immune_population_alpha_omicron*infected_population_delta",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_omicron_delta</ci><ci>immune_population_alpha_omicron</ci><ci>infected_population_delta</ci></apply>"
-        },
-        {
-          "target": "t18",
-          "expression": "gamma_delta*infected_population_alpha_omicron_delta",
-          "expression_mathml": "<apply><times/><ci>gamma_delta</ci><ci>infected_population_alpha_omicron_delta</ci></apply>"
-        },
-        {
-          "target": "t19",
-          "expression": "beta_alpha_omicron_alpha_delta*immune_population_alpha_omicron*infected_population_alpha_delta",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_omicron_alpha_delta</ci><ci>immune_population_alpha_omicron</ci><ci>infected_population_alpha_delta</ci></apply>"
-        },
-        {
-          "target": "t20",
-          "expression": "beta_alpha_omicron_omicron_delta*immune_population_alpha_omicron*infected_population_omicron_delta",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_omicron_omicron_delta</ci><ci>immune_population_alpha_omicron</ci><ci>infected_population_omicron_delta</ci></apply>"
-        },
-        {
-          "target": "t21",
-          "expression": "beta_alpha_omicron_alpha_omicron_delta*immune_population_alpha_omicron*infected_population_alpha_omicron_delta",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_omicron_alpha_omicron_delta</ci><ci>immune_population_alpha_omicron</ci><ci>infected_population_alpha_omicron_delta</ci></apply>"
-        },
-        {
-          "target": "t22",
-          "expression": "beta_delta_alpha*immune_population_delta*infected_population_alpha",
-          "expression_mathml": "<apply><times/><ci>beta_delta_alpha</ci><ci>immune_population_delta</ci><ci>infected_population_alpha</ci></apply>"
-        },
-        {
-          "target": "t23",
-          "expression": "gamma_alpha*infected_population_delta_alpha",
-          "expression_mathml": "<apply><times/><ci>gamma_alpha</ci><ci>infected_population_delta_alpha</ci></apply>"
-        },
-        {
-          "target": "t24",
-          "expression": "beta_delta_delta_alpha*immune_population_delta*infected_population_delta_alpha",
-          "expression_mathml": "<apply><times/><ci>beta_delta_delta_alpha</ci><ci>immune_population_delta</ci><ci>infected_population_delta_alpha</ci></apply>"
-        },
-        {
-          "target": "t25",
-          "expression": "beta_delta_omicron_alpha*immune_population_delta*infected_population_omicron_alpha",
-          "expression_mathml": "<apply><times/><ci>beta_delta_omicron_alpha</ci><ci>immune_population_delta</ci><ci>infected_population_omicron_alpha</ci></apply>"
-        },
-        {
-          "target": "t26",
-          "expression": "beta_delta_delta_omicron_alpha*immune_population_delta*infected_population_delta_omicron_alpha",
-          "expression_mathml": "<apply><times/><ci>beta_delta_delta_omicron_alpha</ci><ci>immune_population_delta</ci><ci>infected_population_delta_omicron_alpha</ci></apply>"
-        },
-        {
-          "target": "t27",
-          "expression": "beta_omicron_alpha*immune_population_omicron*infected_population_alpha",
-          "expression_mathml": "<apply><times/><ci>beta_omicron_alpha</ci><ci>immune_population_omicron</ci><ci>infected_population_alpha</ci></apply>"
-        },
-        {
-          "target": "t28",
-          "expression": "gamma_alpha*infected_population_omicron_alpha",
-          "expression_mathml": "<apply><times/><ci>gamma_alpha</ci><ci>infected_population_omicron_alpha</ci></apply>"
-        },
-        {
-          "target": "t29",
-          "expression": "beta_omicron_delta_alpha*immune_population_omicron*infected_population_delta_alpha",
-          "expression_mathml": "<apply><times/><ci>beta_omicron_delta_alpha</ci><ci>immune_population_omicron</ci><ci>infected_population_delta_alpha</ci></apply>"
-        },
-        {
-          "target": "t30",
-          "expression": "beta_omicron_omicron_alpha*immune_population_omicron*infected_population_omicron_alpha",
-          "expression_mathml": "<apply><times/><ci>beta_omicron_omicron_alpha</ci><ci>immune_population_omicron</ci><ci>infected_population_omicron_alpha</ci></apply>"
-        },
-        {
-          "target": "t31",
-          "expression": "beta_omicron_delta_omicron_alpha*immune_population_omicron*infected_population_delta_omicron_alpha",
-          "expression_mathml": "<apply><times/><ci>beta_omicron_delta_omicron_alpha</ci><ci>immune_population_omicron</ci><ci>infected_population_delta_omicron_alpha</ci></apply>"
-        },
-        {
-          "target": "t32",
-          "expression": "beta_delta_omicron_alpha*immune_population_delta_omicron*infected_population_alpha",
-          "expression_mathml": "<apply><times/><ci>beta_delta_omicron_alpha</ci><ci>immune_population_delta_omicron</ci><ci>infected_population_alpha</ci></apply>"
-        },
-        {
-          "target": "t33",
-          "expression": "gamma_alpha*infected_population_delta_omicron_alpha",
-          "expression_mathml": "<apply><times/><ci>gamma_alpha</ci><ci>infected_population_delta_omicron_alpha</ci></apply>"
-        },
-        {
-          "target": "t34",
-          "expression": "beta_delta_omicron_delta_alpha*immune_population_delta_omicron*infected_population_delta_alpha",
-          "expression_mathml": "<apply><times/><ci>beta_delta_omicron_delta_alpha</ci><ci>immune_population_delta_omicron</ci><ci>infected_population_delta_alpha</ci></apply>"
-        },
-        {
-          "target": "t35",
-          "expression": "beta_delta_omicron_omicron_alpha*immune_population_delta_omicron*infected_population_omicron_alpha",
-          "expression_mathml": "<apply><times/><ci>beta_delta_omicron_omicron_alpha</ci><ci>immune_population_delta_omicron</ci><ci>infected_population_omicron_alpha</ci></apply>"
-        },
-        {
-          "target": "t36",
-          "expression": "beta_delta_omicron_delta_omicron_alpha*immune_population_delta_omicron*infected_population_delta_omicron_alpha",
-          "expression_mathml": "<apply><times/><ci>beta_delta_omicron_delta_omicron_alpha</ci><ci>immune_population_delta_omicron</ci><ci>infected_population_delta_omicron_alpha</ci></apply>"
-        },
-        {
-          "target": "t37",
-          "expression": "beta_alpha_omicron*immune_population_alpha*infected_population_omicron",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_omicron</ci><ci>immune_population_alpha</ci><ci>infected_population_omicron</ci></apply>"
-        },
-        {
-          "target": "t38",
-          "expression": "gamma_omicron*infected_population_alpha_omicron",
-          "expression_mathml": "<apply><times/><ci>gamma_omicron</ci><ci>infected_population_alpha_omicron</ci></apply>"
-        },
-        {
-          "target": "t39",
-          "expression": "beta_alpha_alpha_omicron*immune_population_alpha*infected_population_alpha_omicron",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_alpha_omicron</ci><ci>immune_population_alpha</ci><ci>infected_population_alpha_omicron</ci></apply>"
-        },
-        {
-          "target": "t40",
-          "expression": "beta_alpha_delta_omicron*immune_population_alpha*infected_population_delta_omicron",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_delta_omicron</ci><ci>immune_population_alpha</ci><ci>infected_population_delta_omicron</ci></apply>"
-        },
-        {
-          "target": "t41",
-          "expression": "beta_alpha_alpha_delta_omicron*immune_population_alpha*infected_population_alpha_delta_omicron",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_alpha_delta_omicron</ci><ci>immune_population_alpha</ci><ci>infected_population_alpha_delta_omicron</ci></apply>"
-        },
-        {
-          "target": "t42",
-          "expression": "beta_delta_omicron*immune_population_delta*infected_population_omicron",
-          "expression_mathml": "<apply><times/><ci>beta_delta_omicron</ci><ci>immune_population_delta</ci><ci>infected_population_omicron</ci></apply>"
-        },
-        {
-          "target": "t43",
-          "expression": "gamma_omicron*infected_population_delta_omicron",
-          "expression_mathml": "<apply><times/><ci>gamma_omicron</ci><ci>infected_population_delta_omicron</ci></apply>"
-        },
-        {
-          "target": "t44",
-          "expression": "beta_delta_alpha_omicron*immune_population_delta*infected_population_alpha_omicron",
-          "expression_mathml": "<apply><times/><ci>beta_delta_alpha_omicron</ci><ci>immune_population_delta</ci><ci>infected_population_alpha_omicron</ci></apply>"
-        },
-        {
-          "target": "t45",
-          "expression": "beta_delta_delta_omicron*immune_population_delta*infected_population_delta_omicron",
-          "expression_mathml": "<apply><times/><ci>beta_delta_delta_omicron</ci><ci>immune_population_delta</ci><ci>infected_population_delta_omicron</ci></apply>"
-        },
-        {
-          "target": "t46",
-          "expression": "beta_delta_alpha_delta_omicron*immune_population_delta*infected_population_alpha_delta_omicron",
-          "expression_mathml": "<apply><times/><ci>beta_delta_alpha_delta_omicron</ci><ci>immune_population_delta</ci><ci>infected_population_alpha_delta_omicron</ci></apply>"
-        },
-        {
-          "target": "t47",
-          "expression": "beta_alpha_delta_omicron*immune_population_alpha_delta*infected_population_omicron",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_delta_omicron</ci><ci>immune_population_alpha_delta</ci><ci>infected_population_omicron</ci></apply>"
-        },
-        {
-          "target": "t48",
-          "expression": "gamma_omicron*infected_population_alpha_delta_omicron",
-          "expression_mathml": "<apply><times/><ci>gamma_omicron</ci><ci>infected_population_alpha_delta_omicron</ci></apply>"
-        },
-        {
-          "target": "t49",
-          "expression": "beta_alpha_delta_alpha_omicron*immune_population_alpha_delta*infected_population_alpha_omicron",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_delta_alpha_omicron</ci><ci>immune_population_alpha_delta</ci><ci>infected_population_alpha_omicron</ci></apply>"
-        },
-        {
-          "target": "t50",
-          "expression": "beta_alpha_delta_delta_omicron*immune_population_alpha_delta*infected_population_delta_omicron",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_delta_delta_omicron</ci><ci>immune_population_alpha_delta</ci><ci>infected_population_delta_omicron</ci></apply>"
-        },
-        {
-          "target": "t51",
-          "expression": "beta_alpha_delta_alpha_delta_omicron*immune_population_alpha_delta*infected_population_alpha_delta_omicron",
-          "expression_mathml": "<apply><times/><ci>beta_alpha_delta_alpha_delta_omicron</ci><ci>immune_population_alpha_delta</ci><ci>infected_population_alpha_delta_omicron</ci></apply>"
-        }
-      ],
-      "initials": [
-        {
-          "target": "susceptible_population",
-          "expression": "99999.0",
-          "expression_mathml": "<cn>99999.0</cn>"
-        },
-        {
-          "target": "infected_population_alpha",
-          "expression": "1/3",
-          "expression_mathml": "<apply><divide/><cn>1</cn><cn>3</cn></apply>"
-        },
-        {
-          "target": "infected_population_delta",
-          "expression": "1/3",
-          "expression_mathml": "<apply><divide/><cn>1</cn><cn>3</cn></apply>"
-        },
-        {
-          "target": "infected_population_omicron",
-          "expression": "1/3",
-          "expression_mathml": "<apply><divide/><cn>1</cn><cn>3</cn></apply>"
-        },
-        {
-          "target": "immune_population_alpha",
-          "expression": "0",
-          "expression_mathml": "<cn>0</cn>"
-        },
-        {
-          "target": "immune_population_delta",
-          "expression": "0",
-          "expression_mathml": "<cn>0</cn>"
-        },
-        {
-          "target": "immune_population_omicron",
-          "expression": "0",
-          "expression_mathml": "<cn>0</cn>"
-        }
-      ],
-      "parameters": [
-        {
-          "id": "beta_0",
-          "value": 0.1,
-          "units": {
-            "expression": "1/(day*person)",
-            "expression_mathml": "<apply><divide/><cn>1</cn><apply><times/><ci>day</ci><ci>person</ci></apply></apply>"
-          }
-        },
-        {
-          "id": "beta_1",
-          "value": 0.1,
-          "units": {
-            "expression": "1/(day*person)",
-            "expression_mathml": "<apply><divide/><cn>1</cn><apply><times/><ci>day</ci><ci>person</ci></apply></apply>"
-          }
-        },
-        {
-          "id": "beta_2",
-          "value": 0.1,
-          "units": {
-            "expression": "1/(day*person)",
-            "expression_mathml": "<apply><divide/><cn>1</cn><apply><times/><ci>day</ci><ci>person</ci></apply></apply>"
-          }
-        },
-        {
-          "id": "gamma_0",
-          "value": 0.2
-        },
-        {
-          "id": "gamma_1",
-          "value": 0.2
-        },
-        {
-          "id": "gamma_2",
-          "value": 0.2
-        },
-        {
-          "id": "beta_alpha_delta",
-          "value": 1.0
-        },
-        {
-          "id": "beta_alpha_alpha_delta",
-          "value": 1.0
-        },
-        {
-          "id": "beta_alpha_omicron_delta",
-          "value": 1.0
-        },
-        {
-          "id": "beta_alpha_alpha_omicron_delta",
-          "value": 1.0
-        },
-        {
-          "id": "beta_omicron_delta",
-          "value": 1.0
-        },
-        {
-          "id": "beta_omicron_alpha_delta",
-          "value": 1.0
-        },
-        {
-          "id": "beta_omicron_omicron_delta",
-          "value": 1.0
-        },
-        {
-          "id": "beta_omicron_alpha_omicron_delta",
-          "value": 1.0
-        },
-        {
-          "id": "beta_alpha_omicron_alpha_delta",
-          "value": 1.0
-        },
-        {
-          "id": "beta_alpha_omicron_omicron_delta",
-          "value": 1.0
-        },
-        {
-          "id": "beta_alpha_omicron_alpha_omicron_delta",
-          "value": 1.0
-        },
-        {
-          "id": "beta_delta_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "gamma_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "beta_delta_delta_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "gamma_delta_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "beta_delta_omicron_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "gamma_omicron_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "beta_delta_delta_omicron_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "gamma_delta_omicron_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "beta_omicron_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "beta_omicron_delta_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "beta_omicron_omicron_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "beta_omicron_delta_omicron_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "beta_delta_omicron_delta_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "beta_delta_omicron_omicron_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "beta_delta_omicron_delta_omicron_alpha",
-          "value": 1.0
-        },
-        {
-          "id": "beta_alpha_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "gamma_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "beta_alpha_alpha_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "gamma_alpha_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "beta_alpha_delta_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "gamma_delta_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "beta_alpha_alpha_delta_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "gamma_alpha_delta_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "beta_delta_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "beta_delta_alpha_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "beta_delta_delta_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "beta_delta_alpha_delta_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "beta_alpha_delta_alpha_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "beta_alpha_delta_delta_omicron",
-          "value": 1.0
-        },
-        {
-          "id": "beta_alpha_delta_alpha_delta_omicron",
-          "value": 1.0
-        }
-      ],
-      "observables": [],
-      "time": {
-        "id": "t"
-      }
-    }
-  },
-  "metadata": {
-    "annotations": {}
+ "header": {
+  "name": "Model",
+  "schema": "https://raw.githubusercontent.com/DARPA-ASKEM/Model-Representations/petrinet_v0.6/petrinet/petrinet_schema.json",
+  "schema_name": "petrinet",
+  "description": "Model",
+  "model_version": "0.1"
+ },
+ "properties": {},
+ "model": {
+  "states": [
+   {
+    "id": "susceptible_population",
+    "name": "susceptible_population",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000514"
+     },
+     "modifiers": {}
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "infected_population_alpha",
+    "name": "infected_population_alpha",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000511"
+     },
+     "modifiers": {
+      "strain": "alpha"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "infected_population_delta",
+    "name": "infected_population_delta",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000511"
+     },
+     "modifiers": {
+      "strain": "delta"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "infected_population_omicron",
+    "name": "infected_population_omicron",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000511"
+     },
+     "modifiers": {
+      "strain": "omicron"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "immune_population_alpha",
+    "name": "immune_population_alpha",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000592"
+     },
+     "modifiers": {
+      "strain": "alpha"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "immune_population_delta",
+    "name": "immune_population_delta",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000592"
+     },
+     "modifiers": {
+      "strain": "delta"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "immune_population_omicron",
+    "name": "immune_population_omicron",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000592"
+     },
+     "modifiers": {
+      "strain": "omicron"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "infected_population_alpha_delta",
+    "name": "infected_population_alpha_delta",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000511"
+     },
+     "modifiers": {
+      "history": "alpha",
+      "strain": "delta"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "immune_population_alpha_delta",
+    "name": "immune_population_alpha_delta",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000592"
+     },
+     "modifiers": {
+      "history": "alpha_delta"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "infected_population_omicron_delta",
+    "name": "infected_population_omicron_delta",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000511"
+     },
+     "modifiers": {
+      "history": "omicron",
+      "strain": "delta"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "infected_population_alpha_omicron_delta",
+    "name": "infected_population_alpha_omicron_delta",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000511"
+     },
+     "modifiers": {
+      "history": "alpha_omicron",
+      "strain": "delta"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "immune_population_delta_omicron",
+    "name": "immune_population_delta_omicron",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000592"
+     },
+     "modifiers": {
+      "strain": "delta_omicron"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "immune_population_alpha_omicron",
+    "name": "immune_population_alpha_omicron",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000592"
+     },
+     "modifiers": {
+      "history": "alpha_omicron"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "immune_population_alpha_delta_omicron",
+    "name": "immune_population_alpha_delta_omicron",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000592"
+     },
+     "modifiers": {
+      "history": "alpha_delta_omicron"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "infected_population_delta_alpha",
+    "name": "infected_population_delta_alpha",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000511"
+     },
+     "modifiers": {
+      "history": "delta",
+      "strain": "alpha"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "infected_population_omicron_alpha",
+    "name": "infected_population_omicron_alpha",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000511"
+     },
+     "modifiers": {
+      "history": "omicron",
+      "strain": "alpha"
+     }
+    },
+    "units": {
+     "expression": "person",
+     "expression_mathml": "<ci>person</ci>"
+    }
+   },
+   {
+    "id": "infected_population_delta_omicron_alpha",
+    "name": "infected_population_delta_omicron_alpha",
+    "grounding": {
+     "identifiers": {
+      "ido": "0000511"
+     },
+     "modifiers": {
+      "history": "delta_omicron",
+      "strain": "alpha"
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+     "infected_population_alpha_delta_omicron",
+     "immune_population_delta"
+    ],
+    "output": [
+     "infected_population_alpha_delta_omicron",
+     "infected_population_delta_omicron"
+    ],
+    "properties": {
+     "name": "t69"
+    }
+   },
+   {
+    "id": "t70",
+    "input": [
+     "infected_population_delta_omicron"
+    ],
+    "output": [
+     "immune_population_delta_omicron"
+    ],
+    "properties": {
+     "name": "t70"
+    }
+   },
+   {
+    "id": "t71",
+    "input": [
+     "infected_population_omicron",
+     "immune_population_alpha_delta"
+    ],
+    "output": [
+     "infected_population_omicron",
+     "infected_population_alpha_delta_omicron"
+    ],
+    "properties": {
+     "name": "t71"
+    }
+   },
+   {
+    "id": "t72",
+    "input": [
+     "infected_population_alpha_delta_omicron"
+    ],
+    "output": [
+     "immune_population_alpha_delta_omicron"
+    ],
+    "properties": {
+     "name": "t72"
+    }
+   },
+   {
+    "id": "t73",
+    "input": [
+     "infected_population_alpha_omicron",
+     "immune_population_alpha_delta"
+    ],
+    "output": [
+     "infected_population_alpha_omicron",
+     "infected_population_alpha_delta_omicron"
+    ],
+    "properties": {
+     "name": "t73"
+    }
+   },
+   {
+    "id": "t74",
+    "input": [
+     "infected_population_alpha_delta_omicron"
+    ],
+    "output": [
+     "immune_population_alpha_delta_omicron"
+    ],
+    "properties": {
+     "name": "t74"
+    }
+   },
+   {
+    "id": "t75",
+    "input": [
+     "infected_population_delta_omicron",
+     "immune_population_alpha_delta"
+    ],
+    "output": [
+     "infected_population_delta_omicron",
+     "infected_population_alpha_delta_omicron"
+    ],
+    "properties": {
+     "name": "t75"
+    }
+   },
+   {
+    "id": "t76",
+    "input": [
+     "infected_population_alpha_delta_omicron"
+    ],
+    "output": [
+     "immune_population_alpha_delta_omicron"
+    ],
+    "properties": {
+     "name": "t76"
+    }
+   },
+   {
+    "id": "t77",
+    "input": [
+     "infected_population_alpha_delta_omicron",
+     "immune_population_alpha_delta"
+    ],
+    "output": [
+     "infected_population_alpha_delta_omicron",
+     "infected_population_alpha_delta_omicron"
+    ],
+    "properties": {
+     "name": "t77"
+    }
+   },
+   {
+    "id": "t78",
+    "input": [
+     "infected_population_alpha_delta_omicron"
+    ],
+    "output": [
+     "immune_population_alpha_delta_omicron"
+    ],
+    "properties": {
+     "name": "t78"
+    }
+   }
+  ]
+ },
+ "semantics": {
+  "ode": {
+   "rates": [
+    {
+     "target": "t1",
+     "expression": "beta_0*infected_population_alpha*susceptible_population",
+     "expression_mathml": "<apply><times/><ci>beta_0</ci><ci>infected_population_alpha</ci><ci>susceptible_population</ci></apply>"
+    },
+    {
+     "target": "t2",
+     "expression": "beta_1*infected_population_delta*susceptible_population",
+     "expression_mathml": "<apply><times/><ci>beta_1</ci><ci>infected_population_delta</ci><ci>susceptible_population</ci></apply>"
+    },
+    {
+     "target": "t3",
+     "expression": "beta_2*infected_population_omicron*susceptible_population",
+     "expression_mathml": "<apply><times/><ci>beta_2</ci><ci>infected_population_omicron</ci><ci>susceptible_population</ci></apply>"
+    },
+    {
+     "target": "t4",
+     "expression": "gamma_0*infected_population_alpha",
+     "expression_mathml": "<apply><times/><ci>gamma_0</ci><ci>infected_population_alpha</ci></apply>"
+    },
+    {
+     "target": "t5",
+     "expression": "gamma_1*infected_population_delta",
+     "expression_mathml": "<apply><times/><ci>gamma_1</ci><ci>infected_population_delta</ci></apply>"
+    },
+    {
+     "target": "t6",
+     "expression": "gamma_2*infected_population_omicron",
+     "expression_mathml": "<apply><times/><ci>gamma_2</ci><ci>infected_population_omicron</ci></apply>"
+    },
+    {
+     "target": "t7",
+     "expression": "beta_alpha_delta*immune_population_alpha*infected_population_delta",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_delta</ci><ci>immune_population_alpha</ci><ci>infected_population_delta</ci></apply>"
+    },
+    {
+     "target": "t8",
+     "expression": "gamma_delta*infected_population_alpha_delta",
+     "expression_mathml": "<apply><times/><ci>gamma_delta</ci><ci>infected_population_alpha_delta</ci></apply>"
+    },
+    {
+     "target": "t9",
+     "expression": "beta_alpha_alpha_delta*immune_population_alpha*infected_population_alpha_delta",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_alpha_delta</ci><ci>immune_population_alpha</ci><ci>infected_population_alpha_delta</ci></apply>"
+    },
+    {
+     "target": "t10",
+     "expression": "gamma_alpha_delta*infected_population_alpha_delta",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha_delta</ci><ci>infected_population_alpha_delta</ci></apply>"
+    },
+    {
+     "target": "t11",
+     "expression": "beta_alpha_omicron_delta*immune_population_alpha*infected_population_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_omicron_delta</ci><ci>immune_population_alpha</ci><ci>infected_population_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t12",
+     "expression": "gamma_omicron_delta*infected_population_alpha_delta",
+     "expression_mathml": "<apply><times/><ci>gamma_omicron_delta</ci><ci>infected_population_alpha_delta</ci></apply>"
+    },
+    {
+     "target": "t13",
+     "expression": "beta_alpha_alpha_omicron_delta*immune_population_alpha*infected_population_alpha_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_alpha_omicron_delta</ci><ci>immune_population_alpha</ci><ci>infected_population_alpha_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t14",
+     "expression": "gamma_alpha_omicron_delta*infected_population_alpha_delta",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha_omicron_delta</ci><ci>infected_population_alpha_delta</ci></apply>"
+    },
+    {
+     "target": "t15",
+     "expression": "beta_omicron_delta*immune_population_omicron*infected_population_delta",
+     "expression_mathml": "<apply><times/><ci>beta_omicron_delta</ci><ci>immune_population_omicron</ci><ci>infected_population_delta</ci></apply>"
+    },
+    {
+     "target": "t16",
+     "expression": "gamma_delta*infected_population_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>gamma_delta</ci><ci>infected_population_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t17",
+     "expression": "beta_omicron_alpha_delta*immune_population_omicron*infected_population_alpha_delta",
+     "expression_mathml": "<apply><times/><ci>beta_omicron_alpha_delta</ci><ci>immune_population_omicron</ci><ci>infected_population_alpha_delta</ci></apply>"
+    },
+    {
+     "target": "t18",
+     "expression": "gamma_alpha_delta*infected_population_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha_delta</ci><ci>infected_population_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t19",
+     "expression": "beta_omicron_omicron_delta*immune_population_omicron*infected_population_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>beta_omicron_omicron_delta</ci><ci>immune_population_omicron</ci><ci>infected_population_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t20",
+     "expression": "gamma_omicron_delta*infected_population_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>gamma_omicron_delta</ci><ci>infected_population_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t21",
+     "expression": "beta_omicron_alpha_omicron_delta*immune_population_omicron*infected_population_alpha_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>beta_omicron_alpha_omicron_delta</ci><ci>immune_population_omicron</ci><ci>infected_population_alpha_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t22",
+     "expression": "gamma_alpha_omicron_delta*infected_population_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha_omicron_delta</ci><ci>infected_population_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t23",
+     "expression": "beta_alpha_omicron_delta*immune_population_alpha_omicron*infected_population_delta",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_omicron_delta</ci><ci>immune_population_alpha_omicron</ci><ci>infected_population_delta</ci></apply>"
+    },
+    {
+     "target": "t24",
+     "expression": "gamma_delta*infected_population_alpha_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>gamma_delta</ci><ci>infected_population_alpha_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t25",
+     "expression": "beta_alpha_omicron_alpha_delta*immune_population_alpha_omicron*infected_population_alpha_delta",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_omicron_alpha_delta</ci><ci>immune_population_alpha_omicron</ci><ci>infected_population_alpha_delta</ci></apply>"
+    },
+    {
+     "target": "t26",
+     "expression": "gamma_alpha_delta*infected_population_alpha_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha_delta</ci><ci>infected_population_alpha_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t27",
+     "expression": "beta_alpha_omicron_omicron_delta*immune_population_alpha_omicron*infected_population_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_omicron_omicron_delta</ci><ci>immune_population_alpha_omicron</ci><ci>infected_population_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t28",
+     "expression": "gamma_omicron_delta*infected_population_alpha_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>gamma_omicron_delta</ci><ci>infected_population_alpha_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t29",
+     "expression": "beta_alpha_omicron_alpha_omicron_delta*immune_population_alpha_omicron*infected_population_alpha_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_omicron_alpha_omicron_delta</ci><ci>immune_population_alpha_omicron</ci><ci>infected_population_alpha_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t30",
+     "expression": "gamma_alpha_omicron_delta*infected_population_alpha_omicron_delta",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha_omicron_delta</ci><ci>infected_population_alpha_omicron_delta</ci></apply>"
+    },
+    {
+     "target": "t31",
+     "expression": "beta_delta_alpha*immune_population_delta*infected_population_alpha",
+     "expression_mathml": "<apply><times/><ci>beta_delta_alpha</ci><ci>immune_population_delta</ci><ci>infected_population_alpha</ci></apply>"
+    },
+    {
+     "target": "t32",
+     "expression": "gamma_alpha*infected_population_delta_alpha",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha</ci><ci>infected_population_delta_alpha</ci></apply>"
+    },
+    {
+     "target": "t33",
+     "expression": "beta_delta_delta_alpha*immune_population_delta*infected_population_delta_alpha",
+     "expression_mathml": "<apply><times/><ci>beta_delta_delta_alpha</ci><ci>immune_population_delta</ci><ci>infected_population_delta_alpha</ci></apply>"
+    },
+    {
+     "target": "t34",
+     "expression": "gamma_delta_alpha*infected_population_delta_alpha",
+     "expression_mathml": "<apply><times/><ci>gamma_delta_alpha</ci><ci>infected_population_delta_alpha</ci></apply>"
+    },
+    {
+     "target": "t35",
+     "expression": "beta_delta_omicron_alpha*immune_population_delta*infected_population_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>beta_delta_omicron_alpha</ci><ci>immune_population_delta</ci><ci>infected_population_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t36",
+     "expression": "gamma_omicron_alpha*infected_population_delta_alpha",
+     "expression_mathml": "<apply><times/><ci>gamma_omicron_alpha</ci><ci>infected_population_delta_alpha</ci></apply>"
+    },
+    {
+     "target": "t37",
+     "expression": "beta_delta_delta_omicron_alpha*immune_population_delta*infected_population_delta_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>beta_delta_delta_omicron_alpha</ci><ci>immune_population_delta</ci><ci>infected_population_delta_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t38",
+     "expression": "gamma_delta_omicron_alpha*infected_population_delta_alpha",
+     "expression_mathml": "<apply><times/><ci>gamma_delta_omicron_alpha</ci><ci>infected_population_delta_alpha</ci></apply>"
+    },
+    {
+     "target": "t39",
+     "expression": "beta_omicron_alpha*immune_population_omicron*infected_population_alpha",
+     "expression_mathml": "<apply><times/><ci>beta_omicron_alpha</ci><ci>immune_population_omicron</ci><ci>infected_population_alpha</ci></apply>"
+    },
+    {
+     "target": "t40",
+     "expression": "gamma_alpha*infected_population_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha</ci><ci>infected_population_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t41",
+     "expression": "beta_omicron_delta_alpha*immune_population_omicron*infected_population_delta_alpha",
+     "expression_mathml": "<apply><times/><ci>beta_omicron_delta_alpha</ci><ci>immune_population_omicron</ci><ci>infected_population_delta_alpha</ci></apply>"
+    },
+    {
+     "target": "t42",
+     "expression": "gamma_delta_alpha*infected_population_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>gamma_delta_alpha</ci><ci>infected_population_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t43",
+     "expression": "beta_omicron_omicron_alpha*immune_population_omicron*infected_population_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>beta_omicron_omicron_alpha</ci><ci>immune_population_omicron</ci><ci>infected_population_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t44",
+     "expression": "gamma_omicron_alpha*infected_population_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>gamma_omicron_alpha</ci><ci>infected_population_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t45",
+     "expression": "beta_omicron_delta_omicron_alpha*immune_population_omicron*infected_population_delta_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>beta_omicron_delta_omicron_alpha</ci><ci>immune_population_omicron</ci><ci>infected_population_delta_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t46",
+     "expression": "gamma_delta_omicron_alpha*infected_population_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>gamma_delta_omicron_alpha</ci><ci>infected_population_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t47",
+     "expression": "beta_delta_omicron_alpha*immune_population_delta_omicron*infected_population_alpha",
+     "expression_mathml": "<apply><times/><ci>beta_delta_omicron_alpha</ci><ci>immune_population_delta_omicron</ci><ci>infected_population_alpha</ci></apply>"
+    },
+    {
+     "target": "t48",
+     "expression": "gamma_alpha*infected_population_delta_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha</ci><ci>infected_population_delta_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t49",
+     "expression": "beta_delta_omicron_delta_alpha*immune_population_delta_omicron*infected_population_delta_alpha",
+     "expression_mathml": "<apply><times/><ci>beta_delta_omicron_delta_alpha</ci><ci>immune_population_delta_omicron</ci><ci>infected_population_delta_alpha</ci></apply>"
+    },
+    {
+     "target": "t50",
+     "expression": "gamma_delta_alpha*infected_population_delta_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>gamma_delta_alpha</ci><ci>infected_population_delta_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t51",
+     "expression": "beta_delta_omicron_omicron_alpha*immune_population_delta_omicron*infected_population_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>beta_delta_omicron_omicron_alpha</ci><ci>immune_population_delta_omicron</ci><ci>infected_population_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t52",
+     "expression": "gamma_omicron_alpha*infected_population_delta_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>gamma_omicron_alpha</ci><ci>infected_population_delta_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t53",
+     "expression": "beta_delta_omicron_delta_omicron_alpha*immune_population_delta_omicron*infected_population_delta_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>beta_delta_omicron_delta_omicron_alpha</ci><ci>immune_population_delta_omicron</ci><ci>infected_population_delta_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t54",
+     "expression": "gamma_delta_omicron_alpha*infected_population_delta_omicron_alpha",
+     "expression_mathml": "<apply><times/><ci>gamma_delta_omicron_alpha</ci><ci>infected_population_delta_omicron_alpha</ci></apply>"
+    },
+    {
+     "target": "t55",
+     "expression": "beta_alpha_omicron*immune_population_alpha*infected_population_omicron",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_omicron</ci><ci>immune_population_alpha</ci><ci>infected_population_omicron</ci></apply>"
+    },
+    {
+     "target": "t56",
+     "expression": "gamma_omicron*infected_population_alpha_omicron",
+     "expression_mathml": "<apply><times/><ci>gamma_omicron</ci><ci>infected_population_alpha_omicron</ci></apply>"
+    },
+    {
+     "target": "t57",
+     "expression": "beta_alpha_alpha_omicron*immune_population_alpha*infected_population_alpha_omicron",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_alpha_omicron</ci><ci>immune_population_alpha</ci><ci>infected_population_alpha_omicron</ci></apply>"
+    },
+    {
+     "target": "t58",
+     "expression": "gamma_alpha_omicron*infected_population_alpha_omicron",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha_omicron</ci><ci>infected_population_alpha_omicron</ci></apply>"
+    },
+    {
+     "target": "t59",
+     "expression": "beta_alpha_delta_omicron*immune_population_alpha*infected_population_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_delta_omicron</ci><ci>immune_population_alpha</ci><ci>infected_population_delta_omicron</ci></apply>"
+    },
+    {
+     "target": "t60",
+     "expression": "gamma_delta_omicron*infected_population_alpha_omicron",
+     "expression_mathml": "<apply><times/><ci>gamma_delta_omicron</ci><ci>infected_population_alpha_omicron</ci></apply>"
+    },
+    {
+     "target": "t61",
+     "expression": "beta_alpha_alpha_delta_omicron*immune_population_alpha*infected_population_alpha_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_alpha_delta_omicron</ci><ci>immune_population_alpha</ci><ci>infected_population_alpha_delta_omicron</ci></apply>"
+    },
+    {
+     "target": "t62",
+     "expression": "gamma_alpha_delta_omicron*infected_population_alpha_omicron",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha_delta_omicron</ci><ci>infected_population_alpha_omicron</ci></apply>"
+    },
+    {
+     "target": "t63",
+     "expression": "beta_delta_omicron*immune_population_delta*infected_population_omicron",
+     "expression_mathml": "<apply><times/><ci>beta_delta_omicron</ci><ci>immune_population_delta</ci><ci>infected_population_omicron</ci></apply>"
+    },
+    {
+     "target": "t64",
+     "expression": "gamma_omicron*infected_population_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>gamma_omicron</ci><ci>infected_population_delta_omicron</ci></apply>"
+    },
+    {
+     "target": "t65",
+     "expression": "beta_delta_alpha_omicron*immune_population_delta*infected_population_alpha_omicron",
+     "expression_mathml": "<apply><times/><ci>beta_delta_alpha_omicron</ci><ci>immune_population_delta</ci><ci>infected_population_alpha_omicron</ci></apply>"
+    },
+    {
+     "target": "t66",
+     "expression": "gamma_alpha_omicron*infected_population_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha_omicron</ci><ci>infected_population_delta_omicron</ci></apply>"
+    },
+    {
+     "target": "t67",
+     "expression": "beta_delta_delta_omicron*immune_population_delta*infected_population_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>beta_delta_delta_omicron</ci><ci>immune_population_delta</ci><ci>infected_population_delta_omicron</ci></apply>"
+    },
+    {
+     "target": "t68",
+     "expression": "gamma_delta_omicron*infected_population_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>gamma_delta_omicron</ci><ci>infected_population_delta_omicron</ci></apply>"
+    },
+    {
+     "target": "t69",
+     "expression": "beta_delta_alpha_delta_omicron*immune_population_delta*infected_population_alpha_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>beta_delta_alpha_delta_omicron</ci><ci>immune_population_delta</ci><ci>infected_population_alpha_delta_omicron</ci></apply>"
+    },
+    {
+     "target": "t70",
+     "expression": "gamma_alpha_delta_omicron*infected_population_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha_delta_omicron</ci><ci>infected_population_delta_omicron</ci></apply>"
+    },
+    {
+     "target": "t71",
+     "expression": "beta_alpha_delta_omicron*immune_population_alpha_delta*infected_population_omicron",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_delta_omicron</ci><ci>immune_population_alpha_delta</ci><ci>infected_population_omicron</ci></apply>"
+    },
+    {
+     "target": "t72",
+     "expression": "gamma_omicron*infected_population_alpha_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>gamma_omicron</ci><ci>infected_population_alpha_delta_omicron</ci></apply>"
+    },
+    {
+     "target": "t73",
+     "expression": "beta_alpha_delta_alpha_omicron*immune_population_alpha_delta*infected_population_alpha_omicron",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_delta_alpha_omicron</ci><ci>immune_population_alpha_delta</ci><ci>infected_population_alpha_omicron</ci></apply>"
+    },
+    {
+     "target": "t74",
+     "expression": "gamma_alpha_omicron*infected_population_alpha_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha_omicron</ci><ci>infected_population_alpha_delta_omicron</ci></apply>"
+    },
+    {
+     "target": "t75",
+     "expression": "beta_alpha_delta_delta_omicron*immune_population_alpha_delta*infected_population_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_delta_delta_omicron</ci><ci>immune_population_alpha_delta</ci><ci>infected_population_delta_omicron</ci></apply>"
+    },
+    {
+     "target": "t76",
+     "expression": "gamma_delta_omicron*infected_population_alpha_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>gamma_delta_omicron</ci><ci>infected_population_alpha_delta_omicron</ci></apply>"
+    },
+    {
+     "target": "t77",
+     "expression": "beta_alpha_delta_alpha_delta_omicron*immune_population_alpha_delta*infected_population_alpha_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>beta_alpha_delta_alpha_delta_omicron</ci><ci>immune_population_alpha_delta</ci><ci>infected_population_alpha_delta_omicron</ci></apply>"
+    },
+    {
+     "target": "t78",
+     "expression": "gamma_alpha_delta_omicron*infected_population_alpha_delta_omicron",
+     "expression_mathml": "<apply><times/><ci>gamma_alpha_delta_omicron</ci><ci>infected_population_alpha_delta_omicron</ci></apply>"
+    }
+   ],
+   "initials": [
+    {
+     "target": "susceptible_population",
+     "expression": "99997.0",
+     "expression_mathml": "<cn>99997.0</cn>"
+    },
+    {
+     "target": "infected_population_alpha",
+     "expression": "1.0",
+     "expression_mathml": "<cn>1.0</cn>"
+    },
+    {
+     "target": "infected_population_delta",
+     "expression": "1.0",
+     "expression_mathml": "<cn>1.0</cn>"
+    },
+    {
+     "target": "infected_population_omicron",
+     "expression": "1.0",
+     "expression_mathml": "<cn>1.0</cn>"
+    },
+    {
+     "target": "immune_population_alpha",
+     "expression": "0",
+     "expression_mathml": "<cn>0</cn>"
+    },
+    {
+     "target": "immune_population_delta",
+     "expression": "0",
+     "expression_mathml": "<cn>0</cn>"
+    },
+    {
+     "target": "immune_population_omicron",
+     "expression": "0",
+     "expression_mathml": "<cn>0</cn>"
+    },
+    {
+     "target": "infected_population_alpha_delta",
+     "expression": "0.0",
+     "expression_mathml": "<cn>0.0</cn>"
+    },
+    {
+     "target": "immune_population_alpha_delta",
+     "expression": "0.0",
+     "expression_mathml": "<cn>0.0</cn>"
+    },
+    {
+     "target": "infected_population_omicron_delta",
+     "expression": "0.0",
+     "expression_mathml": "<cn>0.0</cn>"
+    },
+    {
+     "target": "infected_population_alpha_omicron_delta",
+     "expression": "0.0",
+     "expression_mathml": "<cn>0.0</cn>"
+    },
+    {
+     "target": "immune_population_delta_omicron",
+     "expression": "0.0",
+     "expression_mathml": "<cn>0.0</cn>"
+    },
+    {
+     "target": "immune_population_alpha_omicron",
+     "expression": "0.0",
+     "expression_mathml": "<cn>0.0</cn>"
+    },
+    {
+     "target": "immune_population_alpha_delta_omicron",
+     "expression": "0.0",
+     "expression_mathml": "<cn>0.0</cn>"
+    },
+    {
+     "target": "infected_population_delta_alpha",
+     "expression": "0.0",
+     "expression_mathml": "<cn>0.0</cn>"
+    },
+    {
+     "target": "infected_population_omicron_alpha",
+     "expression": "0.0",
+     "expression_mathml": "<cn>0.0</cn>"
+    },
+    {
+     "target": "infected_population_delta_omicron_alpha",
+     "expression": "0.0",
+     "expression_mathml": "<cn>0.0</cn>"
+    },
+    {
+     "target": "infected_population_alpha_omicron",
+     "expression": "0.0",
+     "expression_mathml": "<cn>0.0</cn>"
+    },
+    {
+     "target": "infected_population_delta_omicron",
+     "expression": "0.0",
+     "expression_mathml": "<cn>0.0</cn>"
+    },
+    {
+     "target": "infected_population_alpha_delta_omicron",
+     "expression": "0.0",
+     "expression_mathml": "<cn>0.0</cn>"
+    }
+   ],
+   "parameters": [
+    {
+     "id": "beta_0",
+     "value": 0.1,
+     "units": {
+      "expression": "1/(day*person)",
+      "expression_mathml": "<apply><divide/><cn>1</cn><apply><times/><ci>day</ci><ci>person</ci></apply></apply>"
+     }
+    },
+    {
+     "id": "beta_1",
+     "value": 0.1,
+     "units": {
+      "expression": "1/(day*person)",
+      "expression_mathml": "<apply><divide/><cn>1</cn><apply><times/><ci>day</ci><ci>person</ci></apply></apply>"
+     }
+    },
+    {
+     "id": "beta_2",
+     "value": 0.1,
+     "units": {
+      "expression": "1/(day*person)",
+      "expression_mathml": "<apply><divide/><cn>1</cn><apply><times/><ci>day</ci><ci>person</ci></apply></apply>"
+     }
+    },
+    {
+     "id": "gamma_0",
+     "value": 0.2
+    },
+    {
+     "id": "gamma_1",
+     "value": 0.2
+    },
+    {
+     "id": "gamma_2",
+     "value": 0.2
+    },
+    {
+     "id": "beta_alpha_delta",
+     "value": 1.0
+    },
+    {
+     "id": "beta_alpha_alpha_delta",
+     "value": 1.0
+    },
+    {
+     "id": "beta_alpha_omicron_delta",
+     "value": 1.0
+    },
+    {
+     "id": "beta_alpha_alpha_omicron_delta",
+     "value": 1.0
+    },
+    {
+     "id": "beta_omicron_delta",
+     "value": 1.0
+    },
+    {
+     "id": "beta_omicron_alpha_delta",
+     "value": 1.0
+    },
+    {
+     "id": "beta_omicron_omicron_delta",
+     "value": 1.0
+    },
+    {
+     "id": "beta_omicron_alpha_omicron_delta",
+     "value": 1.0
+    },
+    {
+     "id": "beta_alpha_omicron_alpha_delta",
+     "value": 1.0
+    },
+    {
+     "id": "beta_alpha_omicron_omicron_delta",
+     "value": 1.0
+    },
+    {
+     "id": "beta_alpha_omicron_alpha_omicron_delta",
+     "value": 1.0
+    },
+    {
+     "id": "beta_delta_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "gamma_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "beta_delta_delta_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "gamma_delta_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "beta_delta_omicron_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "gamma_omicron_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "beta_delta_delta_omicron_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "gamma_delta_omicron_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "beta_omicron_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "beta_omicron_delta_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "beta_omicron_omicron_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "beta_omicron_delta_omicron_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "beta_delta_omicron_delta_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "beta_delta_omicron_omicron_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "beta_delta_omicron_delta_omicron_alpha",
+     "value": 1.0
+    },
+    {
+     "id": "beta_alpha_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "gamma_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "beta_alpha_alpha_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "gamma_alpha_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "beta_alpha_delta_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "gamma_delta_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "beta_alpha_alpha_delta_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "gamma_alpha_delta_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "beta_delta_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "beta_delta_alpha_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "beta_delta_delta_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "beta_delta_alpha_delta_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "beta_alpha_delta_alpha_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "beta_alpha_delta_delta_omicron",
+     "value": 1.0
+    },
+    {
+     "id": "beta_alpha_delta_alpha_delta_omicron",
+     "value": 1.0
+    }
+   ],
+   "observables": [],
+   "time": {
+    "id": "t"
+   }
   }
+ },
+ "metadata": {
+  "annotations": {}
+ }
 }
\ No newline at end of file
diff --git a/notebooks/evaluation_2024.03/epi_scenario1/sir_3strain_regnet.json b/notebooks/evaluation_2024.03/epi_scenario1/sir_3strain_regnet.json
deleted file mode 100644
index 1d0b7e5e..00000000
--- a/notebooks/evaluation_2024.03/epi_scenario1/sir_3strain_regnet.json
+++ /dev/null
@@ -1,470 +0,0 @@
-{
-  "header": {
-    "name": "Model",
-    "schema": "https://raw.githubusercontent.com/DARPA-ASKEM/Model-Representations/regnet_v0.2/regnet/regnet_schema.json",
-    "schema_name": "regnet",
-    "description": "Model",
-    "model_version": "0.1"
-  },
-  "model": {
-    "vertices": [
-      {
-        "id": "susceptible_population",
-        "name": "susceptible_population",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000514"
-          },
-          "context": {}
-        },
-        "initial": 99999.0
-      },
-      {
-        "id": "infected_population_alpha",
-        "name": "infected_population_alpha",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "context": {
-            "strain": "alpha"
-          }
-        },
-        "initial": 0.3333333333333333
-      },
-      {
-        "id": "infected_population_delta",
-        "name": "infected_population_delta",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "context": {
-            "strain": "delta"
-          }
-        },
-        "initial": 0.3333333333333333
-      },
-      {
-        "id": "infected_population_omicron",
-        "name": "infected_population_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "context": {
-            "strain": "omicron"
-          }
-        },
-        "initial": 0.3333333333333333
-      },
-      {
-        "id": "immune_population_alpha",
-        "name": "immune_population_alpha",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "context": {
-            "strain": "alpha"
-          }
-        },
-        "initial": 0.0
-      },
-      {
-        "id": "immune_population_delta",
-        "name": "immune_population_delta",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "context": {
-            "strain": "delta"
-          }
-        },
-        "initial": 0.0
-      },
-      {
-        "id": "immune_population_omicron",
-        "name": "immune_population_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "context": {
-            "strain": "omicron"
-          }
-        },
-        "initial": 0.0
-      },
-      {
-        "id": "infected_population_alpha_delta",
-        "name": "infected_population_alpha_delta",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "context": {
-            "history": "alpha",
-            "strain": "delta"
-          }
-        }
-      },
-      {
-        "id": "immune_population_alpha_delta",
-        "name": "immune_population_alpha_delta",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "context": {
-            "history": "alpha_delta"
-          }
-        }
-      },
-      {
-        "id": "infected_population_omicron_delta",
-        "name": "infected_population_omicron_delta",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "context": {
-            "history": "omicron",
-            "strain": "delta"
-          }
-        }
-      },
-      {
-        "id": "infected_population_alpha_omicron_delta",
-        "name": "infected_population_alpha_omicron_delta",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "context": {
-            "history": "alpha_omicron",
-            "strain": "delta"
-          }
-        }
-      },
-      {
-        "id": "immune_population_delta_omicron",
-        "name": "immune_population_delta_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "context": {
-            "strain": "delta_omicron"
-          }
-        }
-      },
-      {
-        "id": "immune_population_alpha_omicron",
-        "name": "immune_population_alpha_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "context": {
-            "history": "alpha_omicron"
-          }
-        }
-      },
-      {
-        "id": "immune_population_alpha_delta_omicron",
-        "name": "immune_population_alpha_delta_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000592"
-          },
-          "context": {
-            "history": "alpha_delta_omicron"
-          }
-        }
-      },
-      {
-        "id": "infected_population_delta_alpha",
-        "name": "infected_population_delta_alpha",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "context": {
-            "history": "delta",
-            "strain": "alpha"
-          }
-        }
-      },
-      {
-        "id": "infected_population_omicron_alpha",
-        "name": "infected_population_omicron_alpha",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "context": {
-            "history": "omicron",
-            "strain": "alpha"
-          }
-        }
-      },
-      {
-        "id": "infected_population_delta_omicron_alpha",
-        "name": "infected_population_delta_omicron_alpha",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "context": {
-            "history": "delta_omicron",
-            "strain": "alpha"
-          }
-        }
-      },
-      {
-        "id": "infected_population_alpha_omicron",
-        "name": "infected_population_alpha_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "context": {
-            "history": "alpha",
-            "strain": "omicron"
-          }
-        }
-      },
-      {
-        "id": "infected_population_delta_omicron",
-        "name": "infected_population_delta_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "context": {
-            "history": "delta",
-            "strain": "omicron"
-          }
-        }
-      },
-      {
-        "id": "infected_population_alpha_delta_omicron",
-        "name": "infected_population_alpha_delta_omicron",
-        "grounding": {
-          "identifiers": {
-            "ido": "0000511"
-          },
-          "context": {
-            "history": "alpha_delta",
-            "strain": "omicron"
-          }
-        }
-      }
-    ],
-    "edges": [],
-    "parameters": [
-      {
-        "id": "beta_0",
-        "value": 0.1
-      },
-      {
-        "id": "beta_1",
-        "value": 0.1
-      },
-      {
-        "id": "beta_2",
-        "value": 0.1
-      },
-      {
-        "id": "gamma_0",
-        "value": 0.2
-      },
-      {
-        "id": "gamma_1",
-        "value": 0.2
-      },
-      {
-        "id": "gamma_2",
-        "value": 0.2
-      },
-      {
-        "id": "beta_alpha_delta",
-        "value": 1.0
-      },
-      {
-        "id": "beta_alpha_alpha_delta",
-        "value": 1.0
-      },
-      {
-        "id": "beta_alpha_omicron_delta",
-        "value": 1.0
-      },
-      {
-        "id": "beta_alpha_alpha_omicron_delta",
-        "value": 1.0
-      },
-      {
-        "id": "beta_omicron_delta",
-        "value": 1.0
-      },
-      {
-        "id": "beta_omicron_alpha_delta",
-        "value": 1.0
-      },
-      {
-        "id": "beta_omicron_omicron_delta",
-        "value": 1.0
-      },
-      {
-        "id": "beta_omicron_alpha_omicron_delta",
-        "value": 1.0
-      },
-      {
-        "id": "beta_alpha_omicron_alpha_delta",
-        "value": 1.0
-      },
-      {
-        "id": "beta_alpha_omicron_omicron_delta",
-        "value": 1.0
-      },
-      {
-        "id": "beta_alpha_omicron_alpha_omicron_delta",
-        "value": 1.0
-      },
-      {
-        "id": "beta_delta_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "gamma_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "beta_delta_delta_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "gamma_delta_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "beta_delta_omicron_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "gamma_omicron_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "beta_delta_delta_omicron_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "gamma_delta_omicron_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "beta_omicron_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "beta_omicron_delta_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "beta_omicron_omicron_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "beta_omicron_delta_omicron_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "beta_delta_omicron_delta_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "beta_delta_omicron_omicron_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "beta_delta_omicron_delta_omicron_alpha",
-        "value": 1.0
-      },
-      {
-        "id": "beta_alpha_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "gamma_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "beta_alpha_alpha_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "gamma_alpha_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "beta_alpha_delta_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "gamma_delta_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "beta_alpha_alpha_delta_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "gamma_alpha_delta_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "beta_delta_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "beta_delta_alpha_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "beta_delta_delta_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "beta_delta_alpha_delta_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "beta_alpha_delta_alpha_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "beta_alpha_delta_delta_omicron",
-        "value": 1.0
-      },
-      {
-        "id": "beta_alpha_delta_alpha_delta_omicron",
-        "value": 1.0
-      }
-    ]
-  },
-  "semantics": {
-    "ode": {
-      "rates": [],
-      "observables": [],
-      "time": {
-        "id": "t"
-      }
-    }
-  },
-  "metadata": {
-    "annotations": {}
-  }
-}
\ No newline at end of file