Global stability for an HIV/AIDS epidemic model with different latent stages and treatment

被引：91
作者：
Huo, Hai-Feng [1 ]
Feng, Li-Xiang [1 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2013年 / 37卷 / 03期
关键词：
HIV/AIDS; Basic reproduction number; Equilibrium; Global stability; TRANSMISSION DYNAMICS; HIV-1; INFECTION; TIME-DELAY; AIDS;
D O I：
10.1016/j.apm.2012.04.013
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An HIV/AIDS epidemic model with different latent stages and treatment is constructed. The model allows for the latent individuals to have the slow and fast latent compartments. Mathematical analyses establish that the global dynamics of the spread of the HIV infectious disease are determined by the basic reproduction number under some conditions. If R-0 < 1, the disease free equilibrium is globally asymptotically stable, and if R-0 > 1, the endemic equilibrium is globally asymptotically stable for a special case. Some numerical simulations are also carried out to confirm the analytical results. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：1480 / 1489
页数：10
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