Traveling wave fronts in reaction-diffusion systems with spatio-temporal delay and applications
type: Item
instance of: scholarly article
title: Traveling wave fronts in reaction-diffusion systems with spatio-temporal delay and applications
zbMATH Open document ID: 1206.35244
author: Zhixian Yu
author: Rong Yuan
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2010-05-27T00:00:00Z
review text: The authors develop a monotone iteration approach to prove the existence of monotone traveling wave solutions for reaction-diffusion equation \[ u(t,x)'_t=Du(t,x)_{xx}''+f(u(t,x),(g_1*u)(t,x),\dots, (g_m*u)(t,x)). \] As an application the Nicholson's blowfliers equation with non-monotone birth functions and different kernels are considered. A main contribution of this paper is to get existence of monotone waves in non-monotone system.
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 35Q92
Mathematics Subject Classification ID: 35C07
zbMATH DE Number: 5713044
zbMATH Keywords: traveling wave solutions
zbMATH Keywords: reaction-diffusion systems
zbMATH Keywords: Nicholson's blowflies equations
zbMATH Keywords: monotone iterations
reviewed by: Leonid Berezansky
MaRDI profile type: Publication
full work available at URL: dcdsb.2010.13.709
OpenAlex ID: W1970441571
DOI: 10.3934/DCDSB.2010.13.709
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description: scientific article; zbMATH DE number 5713044