| 一类带有功能性反应和脉冲效应的捕食系统的动力学性质 |
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| 引用本文： | 郭红建,宋新宇.一类带有功能性反应和脉冲效应的捕食系统的动力学性质[J].应用数学,2006,19(4):724-730. |
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| 作者姓名： | 郭红建 宋新宇 |
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| 作者单位： | 1. 大连理工大学应用数学系,辽宁,大连,116024;信阳师范学院数学与信息科学学院,河南,信阳,464000
2. 信阳师范学院数学与信息科学学院,河南,信阳,464000 |
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| 基金项目： | 国家自然科学基金;河南省高校杰出科研人才创新工程项目;教育部留学回国人员科研启动基金 |
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| 摘 要： | 本文讨论了一类带有HollingⅡ类功能性反应和脉冲投放的一食饵两捕食者系统.运用Floquet和小振幅扰动理论,证明了当投放周期小于某个临界值时,系统食饵绝灭的周期解是全局渐近稳定的,同时研究了系统的持续生存.
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| 关 键 词： | 捕食系统 脉冲效应 持续性 绝灭性 |
| 文章编号： | 1001-9847(2006)04-0724-07 |
| 收稿时间： | 2005-05-26 |
| 修稿时间： | 2005年12月26 |
Dynamic Behaviors of a Kind of Predator-prey Systems with Functional Response and Impulsive Effect |
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| GUO Hong-jian,SONG Xin-yu.Dynamic Behaviors of a Kind of Predator-prey Systems with Functional Response and Impulsive Effect[J].Mathematica Applicata,2006,19(4):724-730. |
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| Authors: | GUO Hong-jian SONG Xin-yu |
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| Institution: | 1. Department of Applied Mathematics ,Dalian University of Technology, Dalian 116024, China ; 2. College of Mathematics and Information Science, Xinyang Normal University, Xinyang 464000, China |
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| Abstract: | A kind of one-prey two-predator systems with Holling type Ⅱ functional response and impulsive release is presented in this paper.By applying the Floquet theory and small amplitude perturbation skills,it is proved that the prey-free periodic solution of the system is globally asymptotically stable when the release period is less than certain critical value.Furthermore,permanence of the system is investigated. |
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| Keywords: | Predator-prey systems Impulsive effect Permanence Extinction |
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