Global stability of a virus dynamics model with Beddington–DeAngelis incidence rate and CTL immune response
X Wang, Y Tao, X Song - Nonlinear Dynamics, 2011 - Springer
X Wang, Y Tao, X Song
Nonlinear Dynamics, 2011•SpringerIn this paper, the global stability of virus dynamics model with Beddington–DeAngelis
infection rate and CTL immune response is studied by constructing Lyapunov functions. We
derive the basic reproduction number R 0 and the immune response reproduction number R
0 for the virus infection model, and establish that the global dynamics are completely
determined by the values of R 0. We obtain the global stabilities of the disease-free
equilibrium E 0, immune-free equilibrium E 1 and endemic equilibrium E∗ when R 0≤ 1, R …
infection rate and CTL immune response is studied by constructing Lyapunov functions. We
derive the basic reproduction number R 0 and the immune response reproduction number R
0 for the virus infection model, and establish that the global dynamics are completely
determined by the values of R 0. We obtain the global stabilities of the disease-free
equilibrium E 0, immune-free equilibrium E 1 and endemic equilibrium E∗ when R 0≤ 1, R …
Abstract
In this paper, the global stability of virus dynamics model with Beddington–DeAngelis infection rate and CTL immune response is studied by constructing Lyapunov functions. We derive the basic reproduction number R 0 and the immune response reproduction number R 0 for the virus infection model, and establish that the global dynamics are completely determined by the values of R 0. We obtain the global stabilities of the disease-free equilibrium E 0, immune-free equilibrium E 1 and endemic equilibrium E ∗ when R 0≤1, R 0>1, R 0>1, respectively.
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