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arxiv: 1509.00071 · v2 · pith:TU5TYLSFnew · submitted 2015-08-31 · 🧮 math.AP

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

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keywords competingmaximumprinciplespeciessystemsdiffusivelotka-volterraapproach
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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.

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