Travelling wave solutions of a free boundary problem for a two-species competitive model
Journal
Communications on Pure and Applied Analysis
Journal Volume
12
Journal Issue
2
Pages
1065-1074
Date Issued
2013
Author(s)
Chang, C.-H.
Abstract
We study a di usive logistic system with a free boundary in ecologyproposed by Mimura, Yamada and Yotsutani [10]. Motivated by the spreading-vanishingdichotomy obtained by Du and Lin [1], we suppose the spreadingspeed of the free boundary tends to a constant as time tends to in nity andconsider the corresponding travelling wave problem. We establish the existenceand uniqueness of a travelling wave solution for this free boundary problem.
SDGs
Type
journal article