| 具时滞和反馈控制的修正Leslie-Gower离散系统的持久性 |
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| 引用本文： | 余胜斌,张杰华.具时滞和反馈控制的修正Leslie-Gower离散系统的持久性[J].应用泛函分析学报,2014,16(3):244-249. |
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| 作者姓名： | 余胜斌 张杰华 |
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| 作者单位： | 福州大学阳光学院,福州,350015 |
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| 基金项目： | 福建省教育厅A类项目，福建省教育厅B类项目 |
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| 摘 要： | 提出并研究具有反馈控制变量和Holling-Ⅱ类功能性反应的修正Leslie-Gower离散捕食系统的持久性问题，通过运用差分不等式得到了一组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．数值模拟显示了本文结果的可行性．
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| 关 键 词： | 持久性 离散 修正Leslie-Gower 反馈控制 时滞 |
Permanence of a Discrete Modified Leslie-Gower Predator-prey System with Delay and Feedback Controls |
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| YU Shengbin,ZHANG Jiehua.Permanence of a Discrete Modified Leslie-Gower Predator-prey System with Delay and Feedback Controls[J].Acta Analysis Functionalis Applicata,2014,16(3):244-249. |
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| Authors: | YU Shengbin ZHANG Jiehua |
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| Institution: | (Sunshine College, Fuzhou University, Fuzhou 350015, China) |
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| Abstract: | A nonautonomous discrete modified Leslie-Gower predator-prey system with time delay and feedback controls is studied in this paper. By using difference inequality theory, a set of condi- tions which guarantee the permanence of system is obtained. The results indicate that feedback control variables have no influence on the persistent property of the system. Our results not only supplement but also improve some existing ones. Numerical simulations show the feasibility of our results. |
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| Keywords: | permanence discrete modified Leslie-Gower feedback controls time delay |
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