Global dynamics of a staged-progression model for HIV/AIDS with amelioration

被引：16

作者：

Guo, Hongbin ^{[1
]}

Li, Michael Y. ^{[2
]}

机构：

[1] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada

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

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 05期

基金：

加拿大创新基金会;

关键词：

Staged progression; HIV/AIDS; Amelioration; Basic reproduction number; Global stability; Lyapunov functions; MATHEMATICAL-ANALYSIS; HIV-INFECTION; TRANSMISSION; STABILITY; AIDS;

D O I：

10.1016/j.nonrwa.2011.02.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a mathematical model for HIV/AIDS that incorporates staged progression and amelioration. Amelioration as a result of HAART treatment is allowed to occur across any number of stages. The global dynamics are completely determined by the basic reproduction number R-0. If R-0 <= 1, then the disease-free equilibrium (DFE) is globally asymptotically stable and the disease always dies out. If R-0 > 1, DFE is unstable and a unique endemic equilibrium (EE) is globally asymptotically stable, and the disease persists at the endemic equilibrium. The proof of global stability utilizes a global Lyapunov function. Crown Copyright (C) 2011 Published by Elsevier Ltd. All rights reserved.

引用

页码：2529 / 2540

页数：12

共 33 条

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