Mathematical analysis of a sex-structured HIV/AIDS model with a discrete time delay

被引：22

作者：

Mukandavire, Zindoga ^{[1
]}

Chiyaka, Christinah ^{[1
]}

Garira, Winston ^{[1
]}

Musuka, Godfrey ^{[2
]}

机构：

[1] Natl Univ Sci & Technol, Dept Appl Math, Modelling Biomed Syst Res Grp, Ascot, Bulawayo, Zimbabwe

[2] African Comprehens HIV AIDS Partnerships, Gaborone, Botswana

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 3-4期

关键词：

HIV/AIDS model; Delay; Reproductive number; Stability; Persistence; Permanence;

D O I：

10.1016/j.na.2008.11.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A sex-structured mathematical model for heterosexual transmission of HIV/AIDS with explicit incubation period is presented as a system of discrete delay differential equations. The epidemic threshold and equilibria for the model are determined and stabilities are examined. The disease-free equilibrium is shown to be locally and globally stable when the basic reproductive number R-0 is less than unity. We use the Lyapunov functional approach to show that the endemic equilibrium is locally asymptotically stable. Further comprehensive qualitative analysis of the model including persistence and permanence are investigated. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1082 / 1093

页数：12

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