Global Stability and Hopf Bifurcation of a Virus Infection Model with Time Delay and CTL Response

摘要：

In this paper, a virus infection model with time delay and CTL response is studied. By analyzing the corresponding characteristic equations, the local stability of each of feasible equilibria of the model is investigated. The existence of Hopf bifurcation is eatablished. By constructing a suitable Lyapunov functional, the global stability of the infection-free equilibrium and the immune-free infection equilibrium are proved. Numerical simulations are carried out to illustrate the theoretical results.

关键词： Time delay CTL response stability Hopf bifurcation

作者: Xiaohong Tian Rui Xu

作者单位: Institute of Applied Mathematics,Shijiazhuang Mechanical Engineering College,Shijiazhuang,050003,China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1376-1381

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）