Competition in periodic media: I -- Existence of pulsating fronts

Léo Girardin

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arXiv · 1606.02367

Competition in periodic media: I -- Existence of pulsating fronts

Léo Girardin

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Abstract

This paper is concerned with the existence of pulsating front solutions in space-periodic media for a bistable two-species competition--diffusion Lotka--Volterra system. Considering highly competitive systems, a simple "high frequency or small amplitudes" algebraic sufficient condition for the existence of pulsating fronts is stated. This condition is in fact sufficient to guarantee that all periodic coexistence states vanish and become unstable as the competition becomes large enough.

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Léo Girardin. 2016-06-08. Competition in periodic media: I -- Existence of pulsating fronts. https://arxiv.org/abs/1606.02367

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