Global stability of a diffusive and delayed virus dynamics model with Crowley-Martin incidence function and CTL immune response

*Correspondence: [email protected] 1Department of Mathematics, Xinjiang Institute of Engineering, Urumqi, Xinjiang 830091, P.R. China Full list of author information is available at the end of the article Abstract In this paper, a diffusive and delayed virus dynamics model with Crowley-Martin incidence function and CTL immune response is investigated. By constructing the Lyapunov functionals, the threshold conditions on the global stability of the infection-free, immune-free and interior equilibria are established if the space is assumed to be homogeneous. We show that the infection-free equilibrium is globally asymptotically stable if the basic reproductive number R0 ≤ 1; the immune-free equilibrium is globally asymptotically stable if the immune reproduction number and the basic reproduction number satisfy R1 ≤ 1 < R0; the interior equilibrium is globally asymptotically stable if R1 > 1.