报告人：加拿大罗瑞尔大学(Wilfrid Laurier University)陈玉明教授
报告题目: Dynamics of an HIV-1 model with two delays and virus waning内容简介: In this talk, we propose and analyze a delayed HIV-1 model with
CTL immune response and virus waning. We obtain the positiveness and boundedness of solutions and find the basic reproduction number R0. If R0 < 1, then the infection- free steady state is globally asymptotically stable and the infection is cleared from the T-cell population; whereas if R0 > 1, then the system is uniformly persistent and the viral concentration maintains at some constant level. The global dynamics when
R0 > 1 is complicated. We establish the local stability of the infected steady state and show that Hopf bifurcation can occur. Both analytical and numerical results indicate that if, in the initial infection stage, the effect of delays on HIV-1 infection is ignored then the risk of HIV-1 infection (if persists) will be underestimated. Moreover, the viral load differs from that without virus waning. These highlight the important role
of delays and virus waning on HIV-1 infection. This is a joint work with Bing Li, uejuan Lu and Shengqiang Liu.