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

Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (1): 83-88.

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)

Abstract

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

CLC Number:

O175

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

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