In this article,we mainly study the impact discontinuous treatments on global dynamics of a viral infection model. By calculating the model equation,we define the basic reproductive rate R0 > 1, and structure appropriate Lyapunov function and achieve the convergence to the endemic equlibrium in finite time,if R0 <1 , we also can get convergence to the disease equilibrium in finite time.%本文主要研究了一个具有非连续治疗策略的病毒传染病动力学模型。定义了基本再生数R0,利用微分包含的相差知识分析研究了该细胞病毒免疫反应的平衡点存在性问题。当R0>1时,通过构造相应的Lyapunov函数可证明模型满足初始条件的每一个解都是在有限时间内全局收敛于地方病平衡点;当R0<1时,模型在有限时间内收敛于无病平衡点。
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