This is a simple model of HIV infection, an SI type model in an open population.
1 |
deqn\fracdS(t)dt = \Lambda -\beta S(t) \fracI(t)N(t)-\mu S(t)dS(t)/dt = -\Lambda -\beta S(t) I(t)/N(t)-\mu S(t)
dI(t)/dt = β S(t) I(t)/N(t) - (μ+γ) I(t)
The state variables of the model are as follows.
The number of susceptible individuals.
The number of HIV-infected individuals.
Time is in weeks; years are assumed to comprise of 52 weeks. The parameters of the model, and the values used in the example, are as follows.
Symbol | Description | Value |
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