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