| 一类带有Holling Ⅱ类功能性反应和相互干扰及脉冲效应的捕食系统 |
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| 引用本文： | 郭红建,赵中,宋新宇.一类带有Holling Ⅱ类功能性反应和相互干扰及脉冲效应的捕食系统[J].数学季刊,2008,23(4). |
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| 作者姓名： | 郭红建 赵中 宋新宇 |
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| 作者单位： | Department;Applied;Mathematics;Dalian;University;Technology;116024;China;College;Information;Science;Xinyang;Normal;464000;Huanghuai;Zhumadian;463000; |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10771179);;Supported by the Natural Science Foundation of the Education Department Henan Province(20071 10028) |
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| 摘 要： | A kind of predator-prey system of Holling typeⅡand interaction perturbation with impulsive effect is presented.By using Floquet theory and small amplitude perturbations skills,the locally asymptotical stability of prey-eradication periodic solution and the permanence of the system are discussed and the corresponding threshold conditions are given respectively.Finally,the existence of positive periodic solution is investigated by the bifurcation theory.
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| 关 键 词： | 捕食系统 脉冲效应 功能性反应 相互干扰 |
A Kind of Predator-prey System of Holling Type Ⅱ and Interaction Perturbation with Impulsive Effect |
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| CHEN Lan-sun,GUO Hong-jian,ZHAO Zhong,SONG Xin-yu,CHEN Lan-sun.A Kind of Predator-prey System of Holling Type Ⅱ and Interaction Perturbation with Impulsive Effect[J].Chinese Quarterly Journal of Mathematics,2008,23(4). |
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| Authors: | CHEN Lan-sun GUO Hong-jian ZHAO Zhong SONG Xin-yu CHEN Lan-sun |
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| Institution: | 1;2;1;3;1.Department of Applied Mathematics;Dalian University of Technology;Dalian 116024;China;2.College of Mathematics and Information Science;Xinyang Normal University;Xinyang 464000;3. Department of Mathematics;Huanghuai University;Zhumadian 463000;China |
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| Abstract: | A kind of predator-prey system of Holling type Ⅱ and interaction perturbation with impulsive effect is presented.By using Floquet theory and small amplitude perturbations skills,the locally asymptotical stability of prey-eradication periodic solution and the permanence of the system are discussed and the corresponding threshold conditions are given respectively.Finally,the existence of positive periodic solution is investigated by the bifurcation theory. |
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| Keywords: | predator-prey system periodic solution threshold asymptotically stable impulsive effect extinction permanence |
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