文章基本信息

标题：Stability of an HIV/AIDS Treatment Model with Different Stages
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作者：Hai-Feng Huo ; Rui Chen
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2015
卷号：2015
DOI：10.1155/2015/630503
出版社：Hindawi Publishing Corporation
摘要：An HIV/AIDS treatment model with different stages is proposed in this paper. The stage of the HIV infection is divided into two stages, that is, HIV-positive in the asymptomatic stage of HIV infection and HIV-positive individuals in the pre-AIDS stage. The fact that some individuals with HIV-positive individuals after the treatment can be transformed into the compartment of HIV-positive individuals in the asymptomatic stage of HIV infection, the compartment of HIV-positive individuals in the pre-AIDS stage, or the compartment of individuals with full-blown AIDS is also considered. Mathematical analyses establish the idea that the global dynamics of the HIV/AIDS model are determined by the basic reproduction number . The disease-free equilibrium is globally asymptotically stable if . The endemic equilibrium is globally asymptotically stable if for a special case. Numerical simulations are also conducted to support the analytic results.