Dynamics of a CTL-inclusive HIV-1 infection model with two time delays

讲座时间 Datetime: 2021年6月18日，星期五 20:30-22:00

地点 Venue: 腾讯会议，751 203 543

报告人 Speaker: 陈玉明 教授

单位 Affiliation: 加拿大罗瑞尔大学

报告摘要 Abstract: 

 In this talk, we consider a delayed HIV-1 infection model with immune response. Our focus is on the effffect of delays on the infection dynamics. We fifirst study the existence of steadystates, which depends on the basic reproduction number R0. When R0 ≤ 1, there is only the infection-free steady state, which is globally asymptotically stable if R0 < 1. When R0 > 1, besides the unstable infection-free steady state, there is a unique infected steady state. We then investigate the local stability of the infected steady state and local Hopf bifurcation at it. The theoretical analysis indicates that the dynamics scenario is complicated. For example, there can be three sequences of critical values, stability switches and double Hopf bifurcation can occur. Some of the theoretical results are also illustrated with numerical simulations.