Analysis of an extended HIV/AIDS epidemic model with treatment

摘要

As drug treatment allows more and more people with HIV/AIDS to live longer, the trade-off between benefits to drug treatment and potential threat infectivity individuals needs to be carefully evaluated. In this paper, we shall extend and investigate an HIV/AIDS treatment model (Cai et al., 2009) [14]. The infection force of the extended model is assumed to be of density dependent form. The resulting incidence term contains, the bilinear and the standard incidence. Mathematical analysis establishes that the global dynamics of the HIV infectious disease is completely determined by the basic reproduction number R0. If R0⩽1, the disease always dies out and the disease-free equilibrium is globally stable. If R0>1, the disease persists and the unique endemic equilibrium is globally asymptotically stable in the interior of the feasible region.