| 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) |
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| 引用本文： | 刘霞,刘艳伟. 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)[J]. 数学进展, 2012, 0(4): 501-511 |
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| 作者姓名： | 刘霞 刘艳伟 |
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| 作者单位： | 河南师范大学数学与信息科学学院;周口师范学院数学系 |
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| 基金项目： | Supported by the Scientific Research Foundation for Ph.D of Henan Normal University(No. 1001) |
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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.
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| 关 键 词： | 反馈控制 Crowley-Martin 持久性 Lyapunov泛函 |
Dynamic Behavior of a Delayed Modified Leslie Predator Prey System With Crowley-Martin Functional Response and Feedback Controls |
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| LIU Xia,LIU Yanwei. Dynamic Behavior of a Delayed Modified Leslie Predator Prey System With Crowley-Martin Functional Response and Feedback Controls[J]. Advances in Mathematics(China), 2012, 0(4): 501-511 |
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| Authors: | LIU Xia LIU Yanwei |
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| Affiliation: | 1.College of Mathematics and Information Science,Henan Normal University,Xinxiang,Henan, 453007,P.R.China;2.Department of Mathematics,Zhoukou Normal University,Zhoukou,Henan, 466001,P.R.China) |
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| Abstract: | In this paper,a delayed modified Leslie predator-prey system with feedback controls 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. |
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| Keywords: | feedback controls Crowley-Martin permanence Lyapunov functional |
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