Stability and Hopf bifurcation for a viral infection model with delayed non-lytic immune response

被引：17
|
作者：
Song X. [1 ,2 ]
Wang S. [1 ]
Zhou X. [1 ]
机构：
[1] College of Mathematics and Information Science, Xinyang Normal University, Xinyang
[2] College of Mathematics and Information Science, Henan University, Kaifeng
来源：
Journal of Applied Mathematics and Computing | 2010年 / 33卷 / 1-2期
基金：
中国国家自然科学基金;
关键词：
Center manifold; Hopf bifurcation; Time delay; Viral infection;
D O I：
10.1007/s12190-009-0285-y
中图分类号：
学科分类号：
摘要：
In this paper, a class of more general viral infection model with delayed non-lytic immune response is proposed based on some important biological meanings. The sufficient criteria for local and global asymptotic stabilities of the viral free equilibrium are given. And the stability and Hopf bifurcation of the infected equilibrium have been studied. Numerical simulations are carried out to explain the mathematical conclusions, and the effects of the birth rate of susceptible T cells and the efficacy of the non-lytic component on the stabilities of the positive equilibrium Ē are also studied by numerical simulations. © 2009 Korean Society for Computational and Applied Mathematics.
引用
收藏
页码：251 / 265
页数：14
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