Traveling Wave Solutions of Competitive Models with Free Boundaries
Analysis of PDEs
2013-07-23 v1
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.
Keywords
Cite
@article{arxiv.1307.5491,
title = {Traveling Wave Solutions of Competitive Models with Free Boundaries},
author = {Jian Yang and Bendong Lou},
journal= {arXiv preprint arXiv:1307.5491},
year = {2013}
}
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8 pages