Stability and Hopf bifurcation analysis for an HIV infection model with Beddington-DeAngelis incidence and two delays

被引：7
|
作者：
Miao, Hui [1 ]
Kang, Chengjun [1 ]
机构：
[1] Shanxi Univ Finance & Econ, Sch Appl Math, Taiyuan 030006, Shanxi, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2019年 / 60卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
HIV infection model; Equilibrium; Local and global stability; Lyapunov functional; Hopf bifurcation; PARASITES;
D O I：
10.1007/s12190-018-1213-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the dynamical properties for a model of delayed differential equations which describes a virus-immune interaction in vivo. The model has two time delays describing time needed for infection of cell and CTLs generation. The model admits three possible equilibria: infection-free equilibrium, CTL-absent infection equilibrium and CTL-present infection equilibrium. The effect of time delay on stability of the equilibria for the CTL immune response model has been studied.
引用
收藏
页码：265 / 290
页数：26
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