具反馈控制和Beddington-DeAngelis功能反应的离散竞争系统的概周期解
Almost Periodic Solutions of a Discrete Competitive System with Feedback Controls and Beddington-DeAngelis Functional Response
DOI: 10.12677/AAM.2020.98133, PDF,    科研立项经费支持
作者: 张杰华：阳光学院基础教研部，福建 福州
关键词: 概周期解；全局吸引性；离散；反馈控制；竞争系统；Almost Periodic Solution； Global Attractive； Discrete； Feedback Controls； Competitive System
摘要: 提出并研究具有反馈控制和Beddington-DeAngelis功能反应的离散竞争系统，利用差分不等式，并通过构造适当的Lyapunov函数，得到了该系统具有持久性和全局吸引性的充分条件。利用泛函概周期的壳理论，得到了保证该系统存在唯一全局吸引概周期解的充分条件。所得结果补充了相关文献的工作。
Abstract: A two species discrete competitive system with feedback controls and Beddington-DeAngelis functional response is studied in this paper. By using the difference inequality theory and constructing the suitable Lyapunov functional, some sufficient conditions are obtained for the permanence and global attractivity of the system. Further, by applying almost periodic functional hull theory, we obtain a set of sufficient conditions which guarantee the existence of a unique global attractive positive almost periodic sequence solution of the system. Our results supplement some existing ones.
文章引用：张杰华. 具反馈控制和Beddington-DeAngelis功能反应的离散竞争系统的概周期解[J]. 应用数学进展, 2020, 9(8): 1134-1145. https://doi.org/10.12677/AAM.2020.98133

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