Asymptotic properties of an HIV/AIDS model with a time delay

被引：61
作者：
Mukandavire, Z. [1 ]
Garira, W. [1 ]
Chiyaka, C. [1 ]
机构：
[1] Natl Univ Sci & Technol, Dept Appl Math, Bulawayo, Zimbabwe
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 330卷 / 02期
关键词：
HIV/AIDS model; incubation; delay; global stability; persistence; Lyapunov functional;
D O I：
10.1016/j.jmaa.2006.07.102
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A mathematical model for HIV/AIDS with explicit incubation period is presented as a system of discrete time delay differential equations and its important mathematical features are analysed. The disease-free and endemic equilibria are found and their local stability investigated. We use the Lyapunov functional approach to show the global stability of the endemic equilibrium. Qualitative analysis of the model including positivity and boundedness of solutions, and persistence are also presented. The HIV/AIDS model is numerically analysed to asses the effects of incubation period on the dynamics of HIV/AIDS and the demographic impact of the epidemic using the demographic and epidemiological parameters for Zimbabwe. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：916 / 933
页数：18
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