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Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series B Année : 2017

Competition in periodic media: I – Existence of pulsating fronts

Léo Girardin

Résumé

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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Dates et versions

hal-01328421 , version 1 (08-06-2016)
hal-01328421 , version 2 (06-12-2016)
hal-01328421 , version 3 (07-12-2016)

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  • HAL Id : hal-01328421 , version 3

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Léo Girardin. Competition in periodic media: I – Existence of pulsating fronts. Discrete and Continuous Dynamical Systems - Series B, 2017, 22 (4). ⟨hal-01328421v3⟩
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