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具反馈控制和Holling-II类功能性反应的修正Leslie-Gower捕食系统的持久性
Permanence of a modified Leslie-Gower Holling-type II predator-prey system with feedback controls

Keywords: 反馈控制 Holling-II类功能性反应 修正Leslie-Gower 持久性
feedback controls Holling-II esponse function modified Leslie-Gower permanence

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Abstract:

研究具有反馈控制变量和Holling-II类功能性反应的修正Leslie-Gower捕食系统的持久性问题,运用微分不等式得到一组新的保证该系统持久的充分性条件. 该结果表明反馈控制变量不会影响系统的持久性,从而改进了已有的结果.
A modified Leslie-Gower predator-prey system with Holling II response function and feedback controls is studied. By applying the differential inequality theory,sufficient conditions which guarantee the permanence of the system are obtained. The results indicate that feedback control variables have no influence on the persistent property of the system. Our result not only supplement but also improve some existing ones

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