具有变系数的脉冲时滞两被捕食者捕食系统的持久性和周期解

数学季刊 ›› 2009, Vol. 24 ›› Issue (2): 267-273.

具有变系数的脉冲时滞两被捕食者捕食系统的持久性和周期解

Department of Mathematics, Zhoukou Normal University

收稿日期:2008-06-09 出版日期:2009-06-30 发布日期:2023-08-11
作者简介:LIU Yan-wei(1978-), male, native of Zhoukou, Henan, M.S.D., a lecturer of Zhoukou Normal University, engages in differential equations and its application.
基金资助:
Supported by the Education Department Natural Science Foundation of Henan Province(2008A180041)；

Permanence and Periodic Solution of an Impulsive Delay Two-prey One-predator System with Variable Coefficients

Department of Mathematics, Zhoukou Normal University

Received:2008-06-09 Online:2009-06-30 Published:2023-08-11
About author:LIU Yan-wei(1978-), male, native of Zhoukou, Henan, M.S.D., a lecturer of Zhoukou Normal University, engages in differential equations and its application.
Supported by:
Supported by the Education Department Natural Science Foundation of Henan Province(2008A180041)；

摘要/Abstract

摘要： Two-prey one-predator system with a special Holling-II functional response is discussed. That ω-periodic solution of the predator extinction is global asymptotically stable is proved by some new methods. Furthermore, by the comparison theorem of impulsive differential equation, the sufficient conditions are derived for the permanence and the existence of periodic solution of the system.

关键词: impulsive, delay, comparison principle, variable coefficients

Abstract: Two-prey one-predator system with a special Holling-II functional response is discussed. That ω-periodic solution of the predator extinction is global asymptotically stable is proved by some new methods. Furthermore, by the comparison theorem of impulsive differential equation, the sufficient conditions are derived for the permanence and the existence of periodic solution of the system.

Key words: impulsive, delay, comparison principle, variable coefficients

中图分类号:

O175.25

刘艳伟, 陆楷章. 具有变系数的脉冲时滞两被捕食者捕食系统的持久性和周期解[J]. 数学季刊, 2009, 24(2): 267-273.

LIU Yan-wei, LU Kai-zhang. Permanence and Periodic Solution of an Impulsive Delay Two-prey One-predator System with Variable Coefficients[J]. Chinese Quarterly Journal of Mathematics, 2009, 24(2): 267-273.

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