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CompartmentalModeling

Guides

  • Compartmental Modeling

Tech Notes

  • Vertical Transmission Models

Symbols

  • DynamicTransmissionModel
  • ForceOfInfection
  • Incidence
  • NextGenerationMatrix
  • CollectModel
  • CompartmentalModelGraph
  • CompetitiveInhibitorKinetics
  • DefinePropensityFunction
  • DeriveTransitions
  • DynamicTransmissionModel
  • EnzymeReaction
  • EpidemiologyModelData
  • EpidemiologyModel
  • ExpandModel
  • ForceOfInfection
  • HillKinetics
  • Incidence
  • KineticCompartmentalModel
  • KineticReactionNetworkModel
  • MichaelisMentenKinetics
  • NextGenerationMatrix
  • NoncompetitiveInhibitorKinetics
  • NullCompartment
  • ResolveCompartmentalModel
  • StochasticSolve
  • StoichiometryTable
  • StratifyModel
  • Transition
  • UncompetitiveInhibitorKinetics
  • VitalDemographicsModel
  • $C
  • $CompartmentalModelingVersion
  • $EpidemiologyColor
  • $EpidemiologyModelingVersion
  • $R
  • $SystemsBiologyModelingVersion
RobertNachbar`EpidemiologyModeling`
EpidemiologyModelData
​
EpidemiologyModelData
[modelName]
returns the model data
Association
for the named model.
​
​
EpidemiologyModelData
["Names"]
returns the list of available model names.
​
Details and Options

Examples  
(1)
Basic Examples  
(1)
Get the names of the models currently supported:
In[1]:=
EpidemiologyModelData
["Names"]
Out[1]=
{cMSEIR,MSEIR,SEIAR,SEIQR,SEIR,SEIRD,SIR,SIS,SQEIQR}
Get the model data for the SEIRD model:
In[2]:=
EpidemiologyModelData
["SEIRD"]
Out[2]=
Variables{,ℰ,ℐ,ℛ,},ComponentTransitionsℰ
ζ
→
ℐ,ℐ
γ(1-δ)
→
ℛ,ℐ
γδ
→
,
βλ[t]
→
ℰ,StoichiometricMatrix{{0,-1,1,0,0},{0,0,-1,1,0},{1,0,-1,0,0},{0,1,0,0,-1}},Rates{ζℰ[t],γ(1-δ)ℐ[t],γδℐ[t],β[t]λ[t]},Equations{
′

[t]γδℐ[t],
′
ℰ
[t]-ζℰ[t]+β[t]λ[t],
′
ℐ
[t]ζℰ[t]-γ(1-δ)ℐ[t]-γδℐ[t],
′
ℛ
[t]γ(1-δ)ℐ[t],
′

[t]-β[t]λ[t]},TimeSymbolt,ForceOfInfectionλ[t]
ℐ[t]
ℰ[t]+ℐ[t]+ℛ[t]+[t]
,Description = susceptible, ℰ = exposed, ℐ = infectious, ℛ = removed;  = dead; β = probability of transmission, (1 / ζ) = average incubation period, (1 / γ) = average infectious period, δ = probability of death; mortality-reduced incidence.
SeeAlso
DynamicTransmissionModel
 
▪
EpidemiologyModel
RelatedGuides
▪
Compartmental Modeling
""

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