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arXiv · 1312.4217

Asymptotic Behavior of Solutions for Competitive Models with Free Boundaries

Jian Yang
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Abstract

In this paper, we study a competitive model involving two species. When the competition is strong enough, the two species are separated by a free boundary. If the initial data has a positive bound at infinity. We prove that the solution will converge, as $t\rightarrow \infty$, to the traveling wave solution and the free boundary will move to infinity with a constant speed.

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Jian Yang. 2013-12-16. Asymptotic Behavior of Solutions for Competitive Models with Free Boundaries. https://arxiv.org/abs/1312.4217

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