Analysis of a viral infection model with immune impairment and cure rate

In this paper, the dynamics behavior of a delayed viral infection model with immune impairment and cure rate is studied. It is shown that there exists three equilibria. By analyzing the characteristic equations, the local stability of the infection-free equilibrium and the immune-exhausted equilibrium of the model are established. In the following, the stability of the positive equilibrium is studied. Furthermore, we investigate the existence of Hopf bifurcation by using a delay as a bifurcation parameter. Finally, numerical simulations are carried out to explain the mathematical conclusions.