Global analysis of a humoral and cellular immunity virus dynamics model with the Beddington-DeAngelis incidence rate.

In this paper, a humoral and cellular immunity virus dynamics model with the Beddington-DeAngelis incidence rate is set up. We derive the basic reproductive number R₀, the cytotoxic T lymphocytes immune response reproductive number R₁, the humoral immune response reproductive number R₂, humoral immune response competitive reproductive number R₃, and cytotoxic T lymphocytes immune response competitive reproductive number R₄, and a full description of the relation between the existence of the equilibria and reproductive numbers is given. The global properties of the five equilibria are obtained by constructing Lyapunov functions. Copyright © 2014 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]