Abstract
In this paper we construct virus dynamics models with impairment of B-cell functions. Two different forms of the incidence rate have been considered, bilinear and general. The latently infected cells have been incorporated into the models. The well-posedness of the models is justified. The models admits two equilibria which are determined by the basic reproduction number R-0. The global stability of each equilibrium is proven by utilizing Lyapunov function and LaSalle's invariance principle. The theoretical results are illustrated by numerical simulations.