Diffusive monotonicity and threshold dynamics of delayed reaction diffusion equations
type: Item
instance of: scholarly article
title: Diffusive monotonicity and threshold dynamics of delayed reaction diffusion equations
zbMATH Open document ID: 1022.35082
DOI: 10.1016/S0022-0396(02)00012-8
author: Jianhong Wu
author: Xiao-Qiang Zhao
published in: Journal of Differential Equations
publication date: 2003-04-02T00:00:00Z
review text: The authors investigate abstract functional differential equations and reaction-diffusion equations with delay. An exponential ordering is introduced which takes into account the spatial diffusion. The induced monotonicity of the solution semiflows is established and applied to describe the threshold dynamics for a nonlocal and delayed reaction-diffusion model. An interesting diffusive population model with nonlocal delay is given to illustrate the theory.
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 1891251
zbMATH Keywords: exponential ordering
zbMATH Keywords: monotonicity
zbMATH Keywords: delayed and diffusive models
zbMATH Keywords: nonlocal effect
zbMATH Keywords: global dynamics
reviewed by: Drumi Bainov
MaRDI profile type: Publication
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full work available at URL: s0022-0396(02)00012-8
OpenAlex ID: W2054669203
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description: scientific article; zbMATH DE number 1891251