Stability and bifurcation analysis in a viral infection model with delays

Advances in Difference Equations

Xinguo Sun¹  Junjie Wei² 

[1] Department of Mathematics, Harbin Institute of Technology, Harbin, P.R. China;School of Science, China University of Petroleum (East China), Qingdao, P.R. China

关键词: virus infection model;    CTLs response;    time delay;    Lyapunov functionals;    global stability;    Hopf bifurcation;    global Hopf branch;   

DOI  :  10.1186/s13662-015-0664-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a class of virus infection models with CTLs response is considered. We incorporate an immune delay and two intracellular delays into the virus infection model. It is found that only incorporating two intracellular delays almost does not change the dynamics of the system, but incorporating an immune delay changes the dynamics of the system very greatly, namely, a Hopf bifurcation and oscillations can appear. Those results show immune delay dominates intracellular delays in some viral infection models, which indicates the human immune system has a special effect in virus infection models with CTLs response, and the human immune system itself is very complicated. In fact, people are aware of the complexity of the human immune system in medical science, which coincides with our investigating. We also investigate the global Hopf bifurcation of the system with the immune delay as a bifurcation parameter.

【 授权许可】

CC BY