Mathematical analysis of an HIV model with impulsive antiretroviral drug doses

被引：23
|
作者：
Gao, Ting [1 ]
Wang, Wendi [1 ]
Liu, Xianning [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Key Lab Ecoenvironm Three Gorges Reservoir Reg, Chongqing 400715, Peoples R China
来源：
MATHEMATICS AND COMPUTERS IN SIMULATION | 2011年 / 82卷 / 04期
关键词：
Global stability; Uniform persistence; Subharmonic solution; Impulse; Chaos; SUBHARMONIC BIFURCATION; IMMUNOLOGICAL MODEL; TREATMENT REGIMENS; DYNAMICS; INFECTION; RESISTANCE; PREY; ADHERENCE;
D O I：
10.1016/j.matcom.2011.10.007
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we incorporate the periodic therapy from antiretroviral drugs for HIV into the standard within-host virus model. and study the stability and bifurcation of the system. It is shown that when the basic reproduction number of virus is less than one, there is an infection-free equilibrium which is globally stable. Further, if it is greater than one, the HIV infection is uniformly persistent. Besides, subharmonic bifurcation occurs under suitable conditions, and chaotic attractor may emerge through period doubling routes, which can be used to explain the HIV patients' unpredictable unstable health states, even after a long and hard treatment. (C) 2011 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：653 / 665
页数：13
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