Global stability of in-host viral models with humoral immunity and intracellular delays

In this paper, we investigate the dynamical behavior of in-host viral models with humoral immunity and intracellular delays. For both models, using the method of Lyapunov functional, we establish that the global dynamics are determined by two threshold parameters R-0 and R-1. If R-0 <= 1, the uninfected equilibrium E-0 is globally asymptotically stable, and the viruses are cleared. If R-1 <= 1 < R-0, the infected equilibrium without B cells response E-1(*) is globally asymptotically stable, and the infection becomes chronic but with no persistent B cells response. If R-1 > 1, the infected equilibrium with B cells response E-2(*) is globally asymptotically stable, and the infection is chronic with persistent B cells response. Alone with some numerical simulations. (C) 2011 Elsevier Inc. All rights reserved.