Global stability for an HIV-1 infection model with Beddington–DeAngelis incidence rate and CTL immune response

• An HIV-1 infection model with Beddington–DeAngelis incidence rate and CTL immune response is studied.
• The basic reproduction number R1R1 and the immune response reproduction number R2R2 are derived.
• The global stabilities of equilibria have been analyzed.

In this paper, an HIV-1 infection model with Beddington–DeAngelis incidence rate and CTL immune response is investigated. One main feature of this model is that an eclipse stage for the infected cells is included and a portion of these cells is reverted to uninfected cells. We derive the basic reproduction number R1R1 and the immune response reproduction number R2R2 for the HIV-1 infection model. By constructing Lyapunov functions, the global stabilities for the equilibria have been analyzed.