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一类带时滞与扩散的食物链离散系统的定性分析

廖基定 蔡秋娥

计算机工程与科学2009,Vol.31Issue(12):124-129,6.
计算机工程与科学2009,Vol.31Issue(12):124-129,6.DOI:10.3969/j.issn.1007-130X.2009.12.037

一类带时滞与扩散的食物链离散系统的定性分析

Qualitative Analysis of a Food-Chain Discrete Model with Delay and Diffusion

廖基定 1蔡秋娥2

作者信息

  • 1. 中南大学数学科学与计算技术学院,湖南,长沙,410075
  • 2. 南华大学数理学院,湖南,衡阳,421001
  • 折叠

摘要

Abstract

In this paper, a non-autonomous three-species food-chain discrete model with delay and diffusion is studied, where the predators are confined to one patch and cannot disperse, the prey species can disperse between two-patches. It is proved the system is permanent under appropriate conditions, and we give an example with simulation to illustrate the feasibility of our result. Furthermore, if the system is periodic, the new criterion which guarantee the global attractivity of a positive periodic solution of the system is obtained.

关键词

食物链离散系统/持久性/全局吸引性/正周期解/时滞

Key words

food-chain discrete system/permanence/global attractivity/positive periodic solution/delay/diffusion

分类

数理科学

引用本文复制引用

廖基定,蔡秋娥..一类带时滞与扩散的食物链离散系统的定性分析[J].计算机工程与科学,2009,31(12):124-129,6.

基金项目

湖南省教育厅科研项目(06C715) (06C715)

计算机工程与科学

OA北大核心CSCDCSTPCD

1007-130X

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