Global analysis of a delay virus dynamics model with Beddington-DeAngelis incidence rate and CTL immune response

In this paper, an HIV-1 infection model with Beddington-DeAngelis infection rate and CTL immune response is investaged. We derive the basic reproduction number R₀ for the viral infection model. By constructing suitable Lyapunov functionals and using LaSalle invariant principle for the delay differential equations, we find when R₀ ≤ 1, the infection-free equilibrium is globally asymptotically stable. And if the CTL immune reproductive number R₁ ≤ 1, the immune-free equilibrium and the endemic equilibrium are globally asymptotically stable.