Modelling and stability of HIV/AIDS epidemic model with treatment

被引：94
|
作者：
Huo, Hai-Feng [1 ,2 ]
Chen, Rui [1 ]
Wang, Xun-Yang [1 ,2 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
[2] Lanzhou Univ Technol, Coll Elect & Informat Engn, Lanzhou 730050, Gansu, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2016年 / 40卷 / 13-14期
关键词：
HIV/AIDS; Antiretroviral treatment; Basic reproduction number; Equilibria; Global stability; GLOBAL STABILITY; DISEASE; SPREAD;
D O I：
10.1016/j.apm.2016.01.054
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A novel HIV/AIDS epidemic model in which we incorporate a new compartment, that is, treatment compartment T, is introduced. The global dynamics of our model are determined by the basic reproduction number R-0. When the basic reproduction number R-0 is less than unity, the disease-free equilibrium is globally asymptotically stable. When the basic reproduction number R-0 is greater than unity, the endemic equilibrium is globally asymptotically stable. Numerical simulations are conducted to support our analytic results. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：6550 / 6559
页数：10
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