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

Tianlei Wang, Zhixing Hu, Fucheng Liao and Wanbiao Ma

Mathematics and Computers in Simulation (MATCOM), 2013, vol. 89, issue C, 13-22

Abstract: 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≤1, the infected equilibrium without immunity E1 is globally asymptotically stable if R1≤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.

Keywords: General incidence rate; Humoral immunity; Delay; Global stability; Lyapunov functional (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:89:y:2013:i:c:p:13-22

DOI: 10.1016/j.matcom.2013.03.004

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