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arXiv · 1504.02580

Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients

Yonggang Zhao·Mingxin Wang
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Abstract

In this article we investigate two free boundary problems for a Lotka-Volterra competition system in a higher space dimension with sign-changing coefficients. One may be viewed as describing how two competing species invade if they occupy an initial region, the other describes the dynamical process of a new competitor invading into the habitat of a native species. For simplicity, it is assumed that the environment is radially symmetric. The main purpose of this article is to understand the asymptotic behavior of competing species spreading via a free boundary. We derive some sufficient conditions for species spreading success and spreading failure. Moreover, when spreading successfully, we provide the long time behavior of solutions.

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Yonggang Zhao, Mingxin Wang. 2015-04-10. Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients. https://arxiv.org/abs/1504.02580

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