Travelling wave solutions of a free boundary problem for a two-species competitive model

Chueh-Hsin Chang; Chiun-Chuan Chen

doi:10.3934/cpaa.2013.12.1065

Article Contents

2013, Volume 12, Issue 2: 1065-1074. Doi: 10.3934/cpaa.2013.12.1065

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Travelling wave solutions of a free boundary problem for a two-species competitive model

Chueh-Hsin Chang^1, and
Chiun-Chuan Chen^2,

1.
Department of Mathematics, National Taiwan University, National Taiwan University, Taipei, 10617
2.
Department of Mathematics, National Taiwan University, and National Center for Theoretical Sciences (Taipei Office), No. 1, Sec. 4, Roosevelt Road, Taipei, 10617

Received: August 2011

Revised: April 2012

Published: March 2013

Abstract / Introduction Related Papers Cited by

Abstract

We study a diusive logistic system with a free boundary in ecology proposed by Mimura, Yamada and Yotsutani [10]. Motivated by the spreading-vanishing dichotomy obtained by Du and Lin [1], we suppose the spreading speed of the free boundary tends to a constant as time tends to innity and consider the corresponding travelling wave problem. We establish the existence and uniqueness of a travelling wave solution for this free boundary problem.

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Mathematics Subject Classification: 35K57, 35C07, 35R35.

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References

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