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

摘要

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 Ro and R,. 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, 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.