Stability and Hopf Bifurcation in a Viral Infection Model with Immune Impairment and Delayed Immune Response

摘要：

A viral infection model with immune impairment and delayed immune response is investigated.The model may exhibit a bistable behavior in some parameter regions, which means that infection will result in disease or immune control outcome, depending on the initial conditions. Furthermore, the existence of Hopf bifurcations at the immune control equilibrium is also studied. Numerical simulations are carried out to illustrate the main results.

关键词： immune response time delay local and global stability Hopf bifurcation

作者: Zhiping Wang Rui Xu Feilong Hao

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: 1410-1416

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）