Heterogeneity in behaviour and movement can influence the stability of predator-prey periodic travelling waves
type: Item
instance of: scholarly article
title: Heterogeneity in behaviour and movement can influence the stability of predator-prey periodic travelling waves
zbMATH Open document ID: 1506.92068
author: Renato Andrade
author: Christina A. Cobbold
published in: Bulletin of Mathematical Biology
publication date: 2022-12-08T00:00:00Z
review text: In order to understand the effects of heterogeneity on predator-prey, authors study periodic traveling wave solutions of a one-dimensional infinite landscape Rosenzweig-MacArthur reaction-diffusion model with alternating patch types. Applying the method of homogenisation, they show how heterogeneity can affect the stability of periodic traveling waves solutions. Their results illustrate how the effects of heterogeneity can be understood and interpreted using Turchin's concept of residence index.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35K57
zbMATH DE Number: 7629784
zbMATH Keywords: periodic travelling waves
zbMATH Keywords: predator-prey
zbMATH Keywords: reaction-diffusion
zbMATH Keywords: homogenisation
zbMATH Keywords: heterogeneity
reviewed by: Wan-Tong Li
describes a project that uses: Matplotlib
describes a project that uses: Mathematica
MaRDI profile type: Publication
Wikidata QID: Q115602085
full work available at URL: s11538-022-01101-8
OpenAlex ID: W4309878859
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DOI: 10.1007/S11538-022-01101-8
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description: scientific article; zbMATH DE number 7629784