期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 39, 期 1, 页码 4-31出版社
WILEY
DOI: 10.1002/mma.3453
关键词
delay-distributed HIV models; chronically infected cells; cocirculating target cells; Lyapunov method
In this paper, we investigate the dynamical behaviors of three human immunodeficiency virus infection models with two types of cocirculating target cells and distributed intracellular delay. The models take into account both short-lived infected cells and long-lived chronically infected cells. In the two types of target cells, the drug efficacy is assumed to be different. The incidence rate of infection is given by bilinear and saturation functional responses in the first and second models, respectively, while it is given by a general function in the third model. Lyapunov functionals are constructed and LaSalle invariance principle is applied to prove the global asymptotic stability of all equilibria of the models. We have derived the basic reproduction number R-0 for the three models. For the first two models, we have proven that the disease-free equilibrium is globally asymptotically stable (GAS) when R(0)1, and the endemic equilibrium is GAS when R-0>1. For the third model, we have established a set of sufficient conditions for global stability of both equilibria of the model. We have checked our theoretical results with numerical simulations. Copyright (c) 2015 John Wiley & Sons, Ltd.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据