hivmodel: A simple model of HIV infection

Description Usage Details

Description

This is a simple model of HIV infection, an SI type model in an open population.

Usage

1

Details

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.

S

The number of susceptible individuals.

I

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

reconhub/epicookbook documentation built on May 27, 2019, 4:02 a.m.