中文摘要：

我们与环境噪音和周期的处理调查一个肿瘤免疫者系统比赛模型的随机的回答。第一，在外部变化下面描述在肿瘤房间和免疫系统之间的相互作用的一个数学模型和周期的治疗基于随机的微分方程被建立。然后，为肿瘤房间的扑灭和坚持的足够的条件被构造 Lyapunov 功能和 Itos 公式导出。最后，数字模拟被介绍说明并且验证结果。这个工作的结果为设计更有效、精确的治疗学的策略消除癌症房间提供理论基础，特别为联合免疫疗法和传统的工具。

英文摘要：

We investigate the stochastic responses of a tumor–immune system competition model with environmental noise and periodic treatment. Firstly, a mathematical model describing the interaction between tumor cells and immune system under external fluctuations and periodic treatment is established based on the stochastic differential equation. Then, sufficient conditions for extinction and persistence of the tumor cells are derived by constructing Lyapunov functions and Ito＇s formula. Finally, numerical simulations are introduced to illustrate and verify the results. The results of this work provide the theoretical basis for designing more effective and precise therapeutic strategies to eliminate cancer cells, especially for combining the immunotherapy and the traditional tools.