具有Crowley-Martin功能反应函数和反馈控制的时滞改进Leslie捕食被捕食系统的动力学行为(英文) 被引量：3

Dynamic Behavior of a Delayed Modified Leslie Predator Prey System With Crowley-Martin Functional Response and Feedback Controls

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摘要本文考虑了一个具有Crowley-Martin功能反应函数和反馈控制的时滞改进Leslie捕食被捕食系统.应用比较原理,给出了系统具有持久性的条件.也给出了系统的正平衡点的局部稳定和全局稳定的充分条件. In this paper, a delayed modified Leslie predator-prey system with feedback con- trols and Crowley-Martin functional response is considered. By using the comparison theorem, the permanence conditions of the system are given. The sufficient conditions that guarantee the existence, local stability and global stability of the positive equilibrium of the system are presented.

作者刘霞刘艳伟

机构地区河南师范大学数学与信息科学学院周口师范学院数学系

出处《数学进展》 CSCD 北大核心 2012年第4期501-511,共11页 Advances in Mathematics（China）

基金 Supported by the Scientific Research Foundation for Ph.D of Henan Normal University(No. 1001)

关键词反馈控制 Crowley—Martin 持久性 LYAPUNOV泛函 feedback controls Crowley-Martin permanence Lyapunov functional

分类号 O175.1 [理学—数学]

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