Wave train selection behind invasion fronts in reaction-diffusion predator-prey models
type: Item
instance of: scholarly article
title: Wave train selection behind invasion fronts in reaction-diffusion predator-prey models
zbMATH Open document ID: 1204.37087
author: Sandra M. Merchant
author: Wayne Nagata
published in: Physica D
publication date: 2010-09-24T00:00:00Z
review text: The authors develop a more general wave train selection prediction for a two-component reaction-diffusion predator-prey system that depends on linearizations at the unstable homogeneous steady states involved in the invasion front. This prediction retains accuracy farther away from a Hopf bifurcation, and can also be applied when the predator and prey diffusion coefficients are unequal. They illustrate the selection prediction with its application to three models of predator invasions.
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 5791156
zbMATH Keywords: reaction-diffusion
zbMATH Keywords: wave train selection
zbMATH Keywords: periodic travelling waves
zbMATH Keywords: population cycles
zbMATH Keywords: coherent structures
zbMATH Keywords: predator invasion
reviewed by: Xueyong Zhou
describes a project that uses: AUTO
describes a project that uses: HomCont
MaRDI profile type: Publication
full work available at URL: j.physd.2010.04.014
OpenAlex ID: W2152211412
Wikidata QID: Q111492192
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DOI: 10.1016/J.PHYSD.2010.04.014
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description: scientific article; zbMATH DE number 5791156