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

作者：Li, Fuxiang; Ma, Wanbiao^*; Jiang, Zhichao; Li, Dan

来源：Computational and Mathematical Methods in Medicine, 2015, 2015: 206205.

DOI：10.1155/2015/206205

• VIRUS DYNAMICS MODEL
• GLOBAL STABILITY
• MATHEMATICAL-ANALYSIS
• RESPONSES
• BEHAVIOR

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.

• 出版日期2015
• 单位北京科技大学; 北华航天工业学院