This paper proposes a sliding mode control strategy for a chaotic nonlinear mathematical model of HIV that called HIV infection $CD_4^+$ T-cells. Using the sliding mode control technique and based on Lyapunov function stability theory, a sliding surface ($SS$) is determined and equivalent control $u_{eq}$ law will be introduced to stabilize the chaotic system. Lyapunove function is constructed to establish the global asymptotic stability of the uninfected and infected steady states by describing sliding surface ($SS$), after that by considering the derivation of $SS$ as zero, someone can achieve the equivalent control that inbreed system stays on $SS$ and tends to equilibrium point in infinite horizon. In addition, numerical examples are given to illustrate the effectiveness of the proposed sliding mode control scheme.

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