恒化器
独特性
数学
摄动(天文学)
应用数学
马尔可夫过程
比较定理
边值问题
数学分析
控制理论(社会学)
计算机科学
物理
统计
遗传学
量子力学
生物
人工智能
细菌
控制(管理)
作者
Xiping Feng,Jianxia Sun,Lei Wang,Fengqin Zhang,Shulin Sun
标识
DOI:10.1142/s0218339021500200
摘要
In this paper, we investigate a stochastic chemostat model with impulsive perturbation on the nutrient. First, the existence and uniqueness of solutions are proved by constructing a pulseless equivalent system. Second, based on Khasminskii’s Markov periodic process theory, we give sufficient conditions for the existence of positive [Formula: see text]-periodic solutions. Third, under certain conditions, the existence and global attractivity of boundary periodic solutions are established by using comparison theorem. Finally, numerical simulations are provided to verify our main results.
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