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

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 R0R0, that is, the former is globally stable if R0≤1R0≤1 and so is the latter if R0>1R0>1. Our results extend the known results on delay virus dynamics considered in the other papers and suggest useful methods to control virus infection.