MMN-1287
Global analysis of a cocirculating target cells HIV model withdifferential drug efficacy and nonlinear incidence rate
Abstract
The main purpose of this work is to investigate the qualitative behavior of an HIV dynamics
model with two types of cocirculating target cells. The model takes into account both short-lived
and long lived chronically infected cells. In the two types of target cells, the drug efficacy is assumed
to be different. The incidence rate is represented by Crowley-Martin functional response. First we
have derived the basic reproduction number R0, then constructed Lyapunov functions to establish
the global asymptotic stability of the disease-free and endemic equilibria of the model. We have
been proven that, the disease-free equilibrium is globally asymptotically stable (GAS) when R0 ≤ 1,
and the endemic equilibrium is GAS when R0 > 1. Numerical simulations have been carried out
to support our theoretical results.
Vol. 17 (2016), No. 1, pp. 231-244
DOI: 10.18514/MMN.2016.1287