A competition-diffusion system with a refuge

Daozhou Gao; Xing Liang

doi:10.3934/dcdsb.2007.8.435

Article Contents

2007, Volume 8, Issue 2: 435-454. Doi: 10.3934/dcdsb.2007.8.435

This issue Previous Article Exponential approximations for the primitive equations of the ocean Next Article Attractor bifurcation and final patterns of the n-dimensional and generalized Swift-Hohenberg equations

A competition-diffusion system with a refuge

Daozhou Gao^1, and
Xing Liang^1,

1.
Department of Mathematics, University of Science and Technology of China, Hefei 230026

Received: October 2006

Revised: March 2007

Published: September 2007

Abstract / Introduction Related Papers Cited by

Abstract

In this paper, a model composed of two Lotka-Volterra patches is considered. The system consists of two competing species $X, Y$ and only species $Y$ can diffuse between patches. It is proved that the system has at most two positive equilibria and then that permanence implies global stability. Furthermore, to answer the question whether the refuge is effective to protect $Y$, the properties of positive equilibria and the dynamics of the system are studied when $X$ is a much stronger competitor.

Keywords:

Mathematics Subject Classification: Primary: 34C12, 37N25; Secondary: 92D40.

Citation:

Article Metrics

HTML views() PDF downloads(91) Cited by(0)

A competition-diffusion system with a refuge

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

A competition-diffusion system with a refuge

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content