Non-cooperative Fisher--KPP systems: asymptotic behavior of traveling waves

Léo Girardin

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arXiv · 1707.08770

Non-cooperative Fisher--KPP systems: asymptotic behavior of traveling waves

Léo Girardin

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Abstract

This paper is concerned with non-cooperative parabolic reaction--diffusion systems which share structural similarities with the scalar Fisher--KPP equation. In a previous paper, we established that these systems admit traveling wave solutions. It is then natural to investigate their asymptotic distributions. This is the main object of this paper. Non-cooperative KPP systems can model various phenomena where the following three mechanisms occur: local diffusion in space, linear cooperation and superlinear competition.

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Léo Girardin. 2017-07-27. Non-cooperative Fisher--KPP systems: asymptotic behavior of traveling waves. https://arxiv.org/abs/1707.08770

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