Traveling waves for time-delayed reaction diffusion equations with degenerate diffusion
type: Item
instance of: scholarly article
title: Traveling waves for time-delayed reaction diffusion equations with degenerate diffusion
zbMATH Open document ID: 1406.35087
author: Tianyuan Xu
author: Shanming Ji
author: Ming Mei
author: Jingxue Yin
published in: Journal of Differential Equations
publication date: 2018-09-06T00:00:00Z
review text: This paper is concerned with a reaction-diffusion equation with degenerate diffusion, including a time delayed and spatially nonlocal term. This arises from a simplification of an age structured population model where, typically, immature individuals disperse faster than mature individuals. The authors first show that this equation admits some traveling wave solutions. The main goal of this paper is then to show that the minimal traveling wave speed goes to zero as a diffusion parameter goes to zero if and only if the equation is truly nonlocal. This suggests that the whole population still spreads even if only the immature population is motile.
reviewed by: Thomas Giletti
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 35K65
zbMATH DE Number: 6933420
zbMATH Keywords: spatially nonlocal term
zbMATH Keywords: age structured population model
MaRDI profile type: Publication
full work available at URL: j.jde.2018.06.008
OpenAlex ID: W2806163503
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Wikidata QID: Q129721660
DOI: 10.1016/J.JDE.2018.06.008
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