Stability and Hopf Bifurcation in a Delayed HIV Infection Model with General Incidence Rate and Immune Impairment

被引：4
|
作者：
Li, Fuxiang [1 ]
Ma, Wanbiao [1 ]
Jiang, Zhichao [2 ]
Li, Dan [1 ]
机构：
[1] Univ Sci & Technol Beijing, Sch Math & Phys, Dept Appl Math, Beijing 100083, Peoples R China
[2] North China Inst Aerosp Engn, Fundamental Sci Dept, Langfang 065000, Hebei, Peoples R China
来源：
COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE | 2015年 / 2015卷
关键词：
VIRUS DYNAMICS MODEL; GLOBAL STABILITY; MATHEMATICAL-ANALYSIS; RESPONSES; BEHAVIOR;
D O I：
10.1155/2015/206205
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We investigate the dynamical behavior of a delayed HIV infection model with general incidence rate and immune impairment. We derive two threshold parameters, the basic reproduction number R-0 and the immune response reproduction number R-1. By using Lyapunov functional and LaSalle invariance principle, we prove the global stability of the infection-free equilibrium and the infected equilibrium without immunity. Furthermore, the existence of Hopf bifurcations at the infected equilibrium with CTL response is also studied. By theoretical analysis and numerical simulations, the effect of the immune impairment rate on the stability of the infected equilibrium with CTL response has been studied.
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页数：14
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