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具有Beddington-DeAngelis反应的食物链模型的渐近周期解

徐昌进 姚凌云

中北大学学报(自然科学版)Issue(6):628-632,5.
中北大学学报(自然科学版)Issue(6):628-632,5.DOI:10.3969/j.issn.1673-3193.2014.06.002

具有Beddington-DeAngelis反应的食物链模型的渐近周期解

Asymptotical Periodic Solution of a Food-Chain Model with Beddington-DeAngelis Functional Response

徐昌进 1姚凌云2

作者信息

  • 1. 贵州财经大学贵州省经济系统仿真重点实验室,贵州贵阳550004
  • 2. 贵州财经大学图书馆,贵州贵阳550004
  • 折叠

摘要

Abstract

A food-chain model with Beddington-DeAngelis functional response was investigated .Assuming that the coefficients of system were all asymptotical periodic functions and by means of constructing a suitable Liapunov function, the conditions of the systemic unique asymptotical periodic solution which was globally as -ymptotically stable were obtained .It is shown that the coefficients of system are under some suitable condi-tions, the unique asymptotical periodic solution w hich is globally asymptotical stable is exist in the system . Result which is obtained from the investigation is a good complement to the earlier publications .

关键词

渐近周期解/Liapunov 函数/Beddington-DeAngelis功能反应/食物链模型

Key words

asymptotically periodic solution/Liapunov function/Beddington-DeAngelis functional response/food-chain model

分类

数理科学

引用本文复制引用

徐昌进,姚凌云..具有Beddington-DeAngelis反应的食物链模型的渐近周期解[J].中北大学学报(自然科学版),2014,(6):628-632,5.

基金项目

国家自然科学基金资助项目(11261010);贵州省优秀科技教育人才省长基金 ()

中北大学学报(自然科学版)

OA北大核心CSTPCD

1673-3193

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