Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity

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• 作者：Tianlei Wang ; Zhixing Hu ; ^{huzhixing@ustb.edu.cn} ; ^{bkdhzhx@163.com} ; Fucheng Liao ; Wanbiao Ma
• 关键词：General incidence rate ; Humoral immunity ; Delay ; Global stability ; Lyapunov functional
• 刊名：Mathematics and Computers in Simulation
• 出版年：2013
• 出版时间：March, 2013
• 年：2013
• 卷：89
• 期：Complete
• 页码：13-22
• 全文大小：657 K

文摘

In this paper, we investigate the dynamical behavior of a virus infection model with general incidence rate and humoral immunity. By using suitable Lyapunov functional and the LaSalle's invariance principle, we establish the global stability of the three equilibria. The uninfected equilibrium E₀ is globally asymptotically stable if R₀ ¡Ü 1, the infected equilibrium without immunity E₁ is globally asymptotically stable if R₁ ¡Ü 1 and R₀ > 1, the infected equilibrium with humoral immunity E₂ is globally asymptotically stable if R₁ > 1. We check our theorems with numerical simulation in the end.