Invasion pinning in a periodically fragmented habitat
type: Item
instance of: scholarly article
title: Invasion pinning in a periodically fragmented habitat
zbMATH Open document ID: 1398.35249
author: James Dowdall
author: Frithjof Lutscher
author: Victor G. LeBlanc
published in: Journal of Mathematical Biology
publication date: 2018-06-21T00:00:00Z
full work available at URL: http://hdl.handle.net/10393/37797
review text: The work considers an influence of habitat inhomogeneities (taken as a periodic patterning) on the invasion waves modelled via the reaction-diffusion partial differential equation with the Allee effect reflected in the reaction term. Two variants are considered: the periodically perturbed growth term and the periodically disturbed diffusion coefficient, both kinds of small perturbations result in the emergence of a cone on the parametric plane, within of which there exists a propagation blocking.
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35B27
Mathematics Subject Classification ID: 35B32
Mathematics Subject Classification ID: 37G40
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 6892926
zbMATH Keywords: reaction-diffusion equation
zbMATH Keywords: wave blocking
zbMATH Keywords: non-uniform diffusion
zbMATH Keywords: Allee effect
reviewed by: Eugene Postnikov
MaRDI profile type: Publication
OpenAlex ID: W2766794690
Wikidata QID: Q47636815
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DOI: 10.1007/S00285-017-1188-4
description: scientific article; zbMATH DE number 6892926