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.
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