Global stability analysis for delayed virus infection model with general incidence rate and humoral immunity
In this paper, we investigate the dynamical behavior of a virus infection model with general incidence rate and humoral immunity. By using suitable Lyapunov functional and the LaSalle's invariance principle, we establish the global stability of the three equilibria. The uninfected equilibrium E-0 is globally asymptotically stable if R-0   1, the infected equilibrium with humoral immunity E-2 is globally asymptotically stable if R-1 > 1. We check our theorems with numerical simulation in the end. (C) 2013 IMACS. Published by Elsevier B.V. All rights reserved.
global stability delay general incidence rate humoral immunity lyapunov functional