Stability analysis of a virus infection model with humoral immunity response and two time delays.

In this paper, we investigate the dynamical properties for a model of delay differential equations, which describes a virus-immune interaction in vivo. By analyzing corresponding characteristic equations, the local stability of the equilibria for infection-free, antibody-free, and antibody response and the existence of Hopf bifurcation with antibody response delay as a bifurcation parameter at the antibody-activated infection equilibrium are established, respectively. Global stability of the equilibria for infection-free, antibody-free, and antibody response, respectively, also are established by applying the Lyapunov functionals method. The numerical simulations are performed in order to illustrate the dynamical behavior of the model. Copyright © 2016 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]