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

Chengjun Kang, Hui Miao, Xing Chen, Jiabo Xu, Da Huang
2017 Advances in Difference Equations  
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 R 0 ≤ 1; the immune-free equilibrium is
more » ... free equilibrium is globally asymptotically stable if the immune reproduction number and the basic reproduction number satisfy R 1 ≤ 1 < R 0 ; the interior equilibrium is globally asymptotically stable if R 1 > 1.
doi:10.1186/s13662-017-1332-x fatcat:dhgkhyanazeh3mpjqngbisdcsi