具有离散和分布时滞的Lotka-Volterra竞争系统

数学季刊 ›› 2008, Vol. 23 ›› Issue (1): 83-88.

具有离散和分布时滞的Lotka-Volterra竞争系统

1. School of Mathematics and Statistics,Lanzhou University 2. College of Mathematics and Information Science,Institute of Applied Mathematics,Henan University

收稿日期:2006-10-10 出版日期:2008-03-30 发布日期:2023-10-16
作者简介:ZHANG Jia-fang(1981-), male, native of Kaifeng, Henan, M.S.D., engages in functional differ- ential equations theory and its application.
基金资助:
Supported by the Education Foundation of Henan Province(07110005)

The Lotka-Volterra Competition System with Discrete and Distributed Time Delays

1. School of Mathematics and Statistics,Lanzhou University 2. College of Mathematics and Information Science,Institute of Applied Mathematics,Henan University

Received:2006-10-10 Online:2008-03-30 Published:2023-10-16
About author:ZHANG Jia-fang(1981-), male, native of Kaifeng, Henan, M.S.D., engages in functional differ- ential equations theory and its application.
Supported by:
Supported by the Education Foundation of Henan Province(07110005)

摘要/Abstract

摘要： In this paper,the Lotka-Volterra competition system with discrete and distrib- uted time delays is considered.By analyzing the characteristic equation of the linearized system,the local asymptotic stability of the positive equilibrium is investigated. Moreover, we discover the delays don’t effect the stability of the equilibrium in the delay system.Finally,we can conclude that the positive equilibrium is global asymptotically stable in the delay system.

关键词: competition system, discrete and distributed time delays, stability, global asymptotically stable

Abstract: In this paper,the Lotka-Volterra competition system with discrete and distrib- uted time delays is considered.By analyzing the characteristic equation of the linearized system,the local asymptotic stability of the positive equilibrium is investigated. Moreover, we discover the delays don’t effect the stability of the equilibrium in the delay system.Finally,we can conclude that the positive equilibrium is global asymptotically stable in the delay system.

Key words: competition system, discrete and distributed time delays, stability, global asymptotically stable

中图分类号:

O175

张嘉防, 张志平. 具有离散和分布时滞的Lotka-Volterra竞争系统[J]. 数学季刊, 2008, 23(1): 83-88.

ZHANG Jia-fang, ZHANG Zhi-ping. The Lotka-Volterra Competition System with Discrete and Distributed Time Delays[J]. Chinese Quarterly Journal of Mathematics, 2008, 23(1): 83-88.

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