Abstract
In this paper, we propose and analyse a virus dynamics model with humoral immune response including latently infected cells. The incidence rate is given by Beddington-DeAngelis functional response. We have derived two threshold parameters, the basic infection reproduction number R0 and the humoral immune response activation number R1 which completely determined the basic and global properties of the virus dynamics model. By constructing suitable Lyapunov functions and applying LaSalle's invariance principle we have proven that if R0 = 1, then the infection-free equilibrium is globally asymptotically stable (GAS), if R1 = 1 < R0, then the chronic-infection equilibrium without humoral immune response is GAS, and if R1 > 1, then the chronic-infection equilibrium with humoral immune response is globally asymptotically stable. These results are further illustrated by numerical simulations.