Stability and Hopf bifurcation for a virus infection model with delayed humoral immunity response

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• 作者：Tianlei Wang ; Zhixing Hu ; Fucheng Liao
• 关键词：Humoral immunity ; Delay ; Global stability ; Lyapunov functional ; Hopf bifurcation
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：1 March, 2014
• 年：2014
• 卷：411
• 期：1
• 页码：63-74
• 全文大小：453 K

文摘

In this paper, we investigate the dynamical behavior of a virus infection model with delayed humoral immunity. By using suitable Lyapunov functional and the LaSalle始s invariance principle, we establish the global stabilities of the two boundary equilibria. If , the uninfected equilibrium is globally asymptotically stable; if , the infected equilibrium without immunity is globally asymptotically stable. When , we obtain the sufficient conditions to the local stability of the infected equilibrium with immunity . The time delay can change the stability of and lead to the existence of Hopf bifurcations. The stabilities of bifurcating periodic solutions is also studied. We check our theorems with numerical simulations in the end.