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具有脉冲的非自治多种群Lotka—Volterra竞争系统的周期性

程荣福

北华大学学报:自然科学版2012,Vol.13Issue(1):1-8,8.
北华大学学报:自然科学版2012,Vol.13Issue(1):1-8,8.

具有脉冲的非自治多种群Lotka—Volterra竞争系统的周期性

Periodicity of a Nonautonomous Multi-Species Lotka-Volterra Competitive System with Impulse

程荣福1

作者信息

  • 1. 北华大学数学学院,吉林吉林132033
  • 折叠

摘要

Abstract

By using the continuation theorem of coincidence degree theory, we study the nonautonomous n-species Lotka-Voherra competitive system with impulse and time delay. A set of sufficient conditions for this system to have positive periodic solutions are established. When the birth rate and the invest rate of the nonautonomous n-species are enough large or the competition rate within species is enough small, the system will bring periodic oscillation phenomenon of biological nature.

关键词

Lotka.Voherra竞争系统/脉冲/正周期解

Key words

Lotka-Volterra competitive system/impulse/positive periodic solution

分类

数学

引用本文复制引用

程荣福..具有脉冲的非自治多种群Lotka—Volterra竞争系统的周期性[J].北华大学学报:自然科学版,2012,13(1):1-8,8.

基金项目

吉林省教育厅科学技术研究项目 ()

北华大学学报:自然科学版

OACSTPCD

1009-4822

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