Global properties of virus dynamics with B-cell impairment

Abstract

In this paper we construct a class of virus dynamics models with impairment of B-cell functions. Two forms of the incidence rate have been considered, saturated and general. The well-posedness of the models is justified. The models admit two equilibria which are determined by the basic reproduction number R0. 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.

Keywords

• virus dynamics
• global stability
• lyapunov function
• b-cell impairment
• 34d20
• 34d23
• 37n25
• 92b05