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

页码：265 / 290

页数：26

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