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多滞量Lotka-Volterra竞争捕食系统的正周期解

任睿超 孙洁

高师理科学刊2016,Vol.36Issue(6):1-5,5.
高师理科学刊2016,Vol.36Issue(6):1-5,5.DOI:10.3969/j.issn.1007-9831.2016.06.001

多滞量Lotka-Volterra竞争捕食系统的正周期解

Positive periodic solutions of Lotka-Volterra competitive predator prey system with multiple delays

任睿超 1孙洁1

作者信息

  • 1. 西北大学现代学院 基础部,陕西 西安 710130
  • 折叠

摘要

Abstract

Mawhin's continuation theorem of coincidence degree and integral inequality were used to construct a bounded open sets,and the non autonomous Lotka Volterra predator-prey system of three species with arbitrary time delay was discussedby giving a sufficient condition for the existence of the positive periodic solutionsin that if the coefficients satisfied certain conditions,periodic oscillationhas been obtained.

关键词

Lotka-Volterra竞争系统/正周期解/Mawhin重合度定理

Key words

Lotka-Volterra competitive system/positive periodic solution/Mawhin coincidence degree theorem

分类

数理科学

引用本文复制引用

任睿超,孙洁..多滞量Lotka-Volterra竞争捕食系统的正周期解[J].高师理科学刊,2016,36(6):1-5,5.

基金项目

2014陕西省教育厅专项科研计划项目 ()

高师理科学刊

1007-9831

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