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

被引：253
|
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：
加拿大自然科学与工程研究理事会; 加拿大创新基金会;
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
收藏
页码：44 / 57
页数：14
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