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A maximum principle for diffusive Lotka-Volterra systems of two competing species

Analysis of PDEs 2016-04-12 v2

Abstract

Using a new approach, we establish a maximum principle for diffusive Lotka-Volterra systems of two competing species. Under certain conditions we show this maximum principle leads to the nonexistence of traveling waves solutions for systems of three competing species.

Keywords

Cite

@article{arxiv.1509.00071,
  title  = {A maximum principle for diffusive Lotka-Volterra systems of two competing species},
  author = {Li-Chang Hung and Chiun-Chuan Chen},
  journal= {arXiv preprint arXiv:1509.00071},
  year   = {2016}
}

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21 pages