Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response

概要

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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 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 <= 1 and so is the latter if R-0 > 1. Our results extend the known results on delay virus dynamics considered in the other papers and suggest useful methods to control virus infection.