Abstract
A delayed HIV‐1 infection model with CTL immune response is investigated. By using suitable Lyapunov functionals, it is proved that the infection‐free equilibrium is globally asymptotically stable if the basic reproduction ratio for viral infection is less than or equal to unity; if the basic reproduction ratio for CTL immune response is less than or equal to unity and the basic reproduction ratio for viral infection is greater than unity, the CTL‐inactivated infection equilibrium is globally asymptotically stable; if the basic reproduction ratio for CTL immune response is greater than unity, the CTL‐activated infection equilibrium is globally asymptotically stable.
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