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A delayed HIV-1 infection model with CTL immune responseis 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 immuneresponse is greater than unity, the CTL-activated infection equilibrium is globallyasymptotically stable

Global Dynamics of a Delayed HIV-1 Infection Model with CTL Immune Response