Stability and Hopf bifurcation of HIV-1 model with Holling II infection rate and immune delay

Journal of Biological Dynamics

Yanjin Liu¹  Shinan Liu¹  Maoxin Liao¹  Ali M. Meyad² 

[1] School of Mathematics and Physics, University of South China;School of Public Finance and Taxation, Southwestern University of Finance and Economics;

关键词: stability;    hopf bifurcation;    hiv-1 model;    immune delay;   

DOI  :  10.1080/17513758.2021.1895334

来源: DOAJ

【 摘 要 】

This paper aims to analyse stability and Hopf bifurcation of the HIV-1 model with immune delay under the functional response of the Holling II type. The global stability analysis has been considered by Lyapunov–LaSalle theorem. And stability and the sufficient condition for the existence of Hopf Bifurcation of the infected equilibrium of the HIV-1 model with immune response are also studied. Some numerical simulations verify the above results. Finally, we propose a novel three dimension system to the future study.

【 授权许可】

Unknown