Threshold Dynamics in Two-Strain Delayed HIV Infection Model with Saturated Incidence

This paper establishes an HIV infection model, which includes wild-type and drug-resistant strains, and the dynamic behavior of infection model with saturated incidence and distributed delays is investigated. The nonnegativity and boundedness of solutions, and the existence of equilibria are obtained. The threshold criteria for the local and global asymptotic stability of equilibria and the uniform persistence of the model are established by using the linearization method, constructing Lyapunov functions and applying the theory of persistence in dynamical systems. Moreover, the numerical examples illustrate that the positive equilibrium may be globally asymptotically stable.