Properties of stability and Hopf bifurcation for a HIV infection model with time delay

被引：35
作者：
Song, Xinyu [1 ]
Zhou, Xueyong [1 ]
Zhao, Xiang [1 ]
机构：
[1] Xinyang Normal Univ, Dept Math, Xinyang 464000, Henan, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2010年 / 34卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Time delay; HIV infection; Hopf bifurcation; Global stability; DIFFERENTIAL EQUATION MODEL; CD4(+) T-CELLS; MATHEMATICAL-ANALYSIS; VIRAL DYNAMICS; IN-VIVO; SYSTEMS;
D O I：
10.1016/j.apm.2009.09.006
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we consider the classical mathematical model with saturation response of the infection rate and time delay. By stability analysis we obtain sufficient conditions for the global stability of the infection-free steady state and the permanence of the infected steady state. Numerical simulations are carried out to explain the mathematical conclusions. (C) 2009 Elsevier Inc. All rights reserved.
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页码：1511 / 1523
页数：13
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