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一类含功能反应与脉冲的时滞比率依赖捕食-食饵模型的多重正周期解

邵远夫 戴斌祥

应用数学2011,Vol.24Issue(1):30-39,10.
应用数学2011,Vol.24Issue(1):30-39,10.

一类含功能反应与脉冲的时滞比率依赖捕食-食饵模型的多重正周期解

Multiple Positive Periodic Solutions of a Delayed Ratio-dependent Predator-prey Model with Functional Response and Impulse

邵远夫 1戴斌祥2

作者信息

  • 1. 桂林理工大学理学院,广西,桂林,541004
  • 2. 中南大学数学科学与计算技术学院,湖南,长沙,410075
  • 折叠

摘要

Abstract

By using Mawhin continuation theorem, we establish the sufficient conditions ensuring the existence of multiple positive periodic solutions of a delayed ratio-dependent predator-prey model with nonmonotone functional response and impulse. Particularly,our results generalize and improve some previously known criteria.

关键词

连续定理/正周期解/比率依赖/非单调功能反应/脉冲

Key words

Continuation theorem/Positive periodic solutions/Ratio-dependent/Nonmonotone functional response/Impulse

分类

数理科学

引用本文复制引用

邵远夫,戴斌祥..一类含功能反应与脉冲的时滞比率依赖捕食-食饵模型的多重正周期解[J].应用数学,2011,24(1):30-39,10.

基金项目

Supported by National Natural Science Foundation of China (10971229), Doctoral Foundation of Guilin University of Technology (2010) and National Research Program of China (2007CB714107) (10971229)

应用数学

OA北大核心CSCDCSTPCD

1001-9847

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