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基于图论方法研究带偏差变量和食饵扩散的捕食者-食饵系统的周期性

许琴 张春梅 陈慧凌

应用数学2023,Vol.36Issue(1):176-189,14.
应用数学2023,Vol.36Issue(1):176-189,14.

基于图论方法研究带偏差变量和食饵扩散的捕食者-食饵系统的周期性

Periodicity of Coupled Predator-Prey Systems with Deviating Arguments and Prey Dispersal Based on Graph-theoretic Method

许琴 1张春梅 1陈慧凌1

作者信息

  • 1. 西南交通大学数学学院,四川 成都611756
  • 折叠

摘要

Abstract

This paper is concerned with the periodicity of coupled predator-prey systems with deviating arguments and prey dispersal in multiple patches.By applying the graph theory and the coincidence degree theory,some novel sufficient conditions are established for the existence of positive periodic solutions.The sufficient criterion is delay-independent and closely related to topological properties of the dispersal network.Finally,a numerical example is also provided to illustrate the correctness of theoretical results.

关键词

正周期解/捕食者-食饵系统/重合度理论/图论

Key words

Positive periodic solution/Predator-prey system/Coincidence degree theory/Graph theorv

分类

数理科学

引用本文复制引用

许琴,张春梅,陈慧凌..基于图论方法研究带偏差变量和食饵扩散的捕食者-食饵系统的周期性[J].应用数学,2023,36(1):176-189,14.

基金项目

Supported by the National Natural Science Foundation of China(11601445),the Fundamental Research Funds for the Central Universities,PR China(2682020ZT109)and the Central Government Funds for Guiding Local Scientific and Technological Development(2021ZYD0010) (11601445)

应用数学

1001-9847

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