Analyzing global stability of a viral model with general incidence rate and cytotoxic T lymphocytes immune response

The global dynamics of a viral model with general incidence rate and CTL immune response is investigated. We derive the basic reproduction number for viral infection and the immune response reproduction number for the viral infection model and establish the global dynamics completely determined by the values of and . By constructing Lyapunov functions and using LaSalle invariance principle, the disease-free equilibrium is globally asymptotically stable when the basic reproduction number for viral infection , and there exists a unique CTL-inactivated infection equilibrium which is globally stable and the infection becomes endemic with no sustained immune response when , and then, the CTL-activated infection equilibrium of the model exists and is also globally attractive when the immune response reproduction number .