Global Stability and Hopf Bifurcation for a Virus Dynamics Model with General Incidence Rate and Delayed CTL Immune Response

作     者：Abdoul Samba Ndongo Abdoul Samba Ndongo

作者机构：University de Nouakchott ALassriya Faculty of Sciences Department of Mathematics Nouakchott Mauritania 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2021年第12卷第11期

页      面：1038-1057页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Virus Dynamics Intracellular and CTL Immune Response Delays Lyapunov Function Global Asymptotic Stability Hopf Bifurcation 

摘      要：In this work, we investigate an HIV-1 infection model with a general incidence rate and delayed CTL immune response. The model admits three possible equilibria, an infection-free equilibrium E*0, CTL-inactivated infection equilibrium E*1 and CTL-activated infection equilibrium E*2. We prove that in the absence of CTL immune delay, the model has exactly the basic behaviour model, for all positive intracellular delays, the global dynamics are determined by two threshold parameters R0 and R1, if R0 ≤ 1, E*0 is globally asymptotically stable, if R1 ≤ 1 R0, E*1 is globally asymptotically stable and if R1 1, E*2 is globally asymptotically stable. But if the CTL immune response delay is different from zero, then the behaviour of the model at E*2 changes completely, although R1 1, a Hopf bifurcation at E*2 is established. In the end, we present some numerical simulations.