作者
Zindoga Mukandavire, Christinah Chiyaka, Winston Garira, Godfrey Musuka
发表日期
2009/8/1
期刊
Nonlinear Analysis: Theory, Methods & Applications
卷号
71
期号
3-4
页码范围
1082-1093
出版商
Pergamon
简介
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 R0 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.
学术搜索中的文章
Z Mukandavire, C Chiyaka, W Garira, G Musuka - Nonlinear Analysis: Theory, Methods & Applications, 2009