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arXiv · 1307.5491

Traveling Wave Solutions of Competitive Models with Free Boundaries

Jian Yang·Bendong Lou
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Abstract

We study two systems of reaction diffusion equations with monostable or bistable type of nonlinearity and with free boundaries. These systems are used as multi-species competitive model. For two-species models, we prove the existence of a traveling wave solution which consists of two semi-waves intersecting at the free boundary. For three-species models, we also prove the existence of a traveling wave solution which, however, consists of two semi-waves and one compactly supported wave in between, each intersecting with its neighbor at the free boundary.

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Jian Yang, Bendong Lou. 2013-07-21. Traveling Wave Solutions of Competitive Models with Free Boundaries. https://arxiv.org/abs/1307.5491

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