Tian, X. and Xu, R. (2014) Global Stability and Hopf Bifurcation of an HIV-1 Infection Model with Saturation Incidence and Delayed CTL Immune Response. Applied Mathematics and Computation, 237, 146-154.
https://doi.org/10.1016/j.amc.2014.03.091

has been cited by the following article:

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

  AUTHORS: Abdoul Samba Ndongo

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

  JOURNAL NAME: Applied Mathematics, Vol.12 No.11, November 30, 2021

  ABSTRACT: 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.