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Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response. (English) Zbl 1217.34128
Summary: A class of virus dynamics model with intracellular delay and nonlinear infection rate of Beddington-DeAngelis functional response is analysed in this paper. By constructing suitable Lyapunov functionals and using a LaSalle-type theorem for delay differential equations, we show that the global stability of the infection-free equilibrium and the infected equilibrium depends on the basic reproductive ratio $R_{0}$, that is, the former is globally stable if $R_{0}\leq 1$ and so is the latter if $R_{0}>1$. Our results extend known results on delay virus dynamics and suggest useful methods to control virus infection.

34K60Qualitative investigation and simulation of models
34K20Stability theory of functional-differential equations
Full Text: DOI
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