A Note on Stability Properties of a Delayed Viral Infection Model with Lytic Immune Response

摘要：

Based on biological meanings, a recent paper Stability properties and Hopf bifurcation of a delayed viral infection model with lytic immune resposne, J. Math. Anal. Appl. 373 (2010)345-355 considered a delayed viral infection model with lytic immune response. Using stability switch criteria, one of main results in that paper is proved and conjectured, that is, there exists a Hopf bifurcation of the positive equilibrium. However, By Direct Lyapunov Method, in this note we construct Lyapunov functions to demonstrate that the positive equilibrium is global asymptotically stable when it exists, which implies Hopf bifurcation does not occur. And numerical simulations are given to confirm it. Finally, we discuss that the immune activation delay can bring periodic solutions.

关键词： Viral infection Lytic immune Lyapunov functional global stability

作者: Ling Xu Bing Liu Gang Huang

作者单位: Department of Mathematics,Anshan Normal University,Anshan,Liaoning 114007, P.R.China;Department of M Department of Mathematics,Anshan Normal University,Anshan,Liaoning 114007,P.R.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: 1209-1214

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）