Non-cooperative Fisher–KPP systems: Asymptotic behavior of traveling waves
Léo Girardin
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Source: Crossref
Published: May 21, 2018
DOI: 10.1142/s0218202518500288
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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 whose profiles connect the null state to a compact subset of the positive cone. The main object of this paper is the investigation of a more precise description of these profiles. 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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