∞Global analysis of an HIV dynamics model with differential drug efficacy in cocirculating target cells

다국어 초록 (Multilingual Abstract)

The objective 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 infected cells and long-lived chronically infected cells. In the two types of target cells, the drug ecacy is assumed to be dierent. The incidence rate is represented by Beddington-DeAngelis 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. Theoretical results have been checked with numerical simulation.

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