Mathematical analysis of the global dynamics of a model for HIV infection of CD4+ T cells

被引：261

作者：

Wang, LC

Li, MY ^{[1
]}

机构：

[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

[2] Kennesaw State Univ, Dept Math, Kennesaw, GA 30144 USA

来源：

MATHEMATICAL BIOSCIENCES | 2006年 / 200卷 / 01期

基金：

加拿大创新基金会; 加拿大自然科学与工程研究理事会;

关键词：

HIV infection; CD4(+) T cells; dynamical systems; stability analysis;

D O I：

10.1016/j.mbs.2005.12.026

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

A mathematical model that describes HIV infection of CD4(+) T cells is analyzed. Global dynamics of the model is rigorously established. We prove that, if the basic reproduction number R-0 <= 1, the HIV infection is cleared from the T-cell population; if R-0 > 1, the HIV infection persists. For an open set of parameter values, the chronic-infection equilibrium P* can be unstable and periodic solutions may exist. We establish parameter regions for which P* is globally stable. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：44 / 57

页数：14

共 19 条

[1] UNIFORMLY PERSISTENT SYSTEMS [J].