Backward bifurcation in a mathematical model for HIV infection in vivo with anti-retroviral treatment

被引：55

作者：

Li, Michael Y. ^{[1
]}

Wang, Liancheng ^{[2
]}

机构：

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

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

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 17卷

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：

COMPOUND MATRICES; GLOBAL DYNAMICS; VIRUS DYNAMICS; AIDS; STABILITY; RESERVOIR; THERAPY;

D O I：

10.1016/j.nonrwa.2013.11.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Anti-retroviral treatments (ART) such as HAART have been used to control the replication of HIV virus in HIV-positive patients. In this paper, we study an in-host model of HIV infection with ART and carry out mathematical analysis of the global dynamics and bifurcations of the model in different parameter regimes. Among our discoveries is a parameter region for which backward bifurcation can occur. Biologically, the catastrophic behaviors associated with backward bifurcations may explain the sudden rebound of HIV viral load when ART is stopped, and possibly provide an explanation for the viral blips during ART suppression of HIV. (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：147 / 160

页数：14

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