Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models

Horst Thieme; Xiao Qiang Zhao

doi:10.1016/S0022-0396(03)00175-X

Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models

Horst Thieme, Xiao Qiang Zhao

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

308 Scopus citations

Abstract

The theory of asymptotic speeds of spread and monotone traveling waves is generalized to a large class of scalar nonlinear integral equations and is applied to some time-delayed reaction and diffusion population models.

Original language	English (US)
Pages (from-to)	430-470
Number of pages	41
Journal	Journal of Differential Equations
Volume	195
Issue number	2
DOIs	https://doi.org/10.1016/S0022-0396(03)00175-X
State	Published - Dec 10 2003

Keywords

Asymptotic speeds of spread
Minimal wave speeds
Nonlinear integral equations
Population models
Traveling waves

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0022-0396(03)00175-X

Cite this

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title = "Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models",

abstract = "The theory of asymptotic speeds of spread and monotone traveling waves is generalized to a large class of scalar nonlinear integral equations and is applied to some time-delayed reaction and diffusion population models.",

keywords = "Asymptotic speeds of spread, Minimal wave speeds, Nonlinear integral equations, Population models, Traveling waves",

author = "Horst Thieme and Zhao, {Xiao Qiang}",

year = "2003",

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doi = "10.1016/S0022-0396(03)00175-X",

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AU - Zhao, Xiao Qiang

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N2 - The theory of asymptotic speeds of spread and monotone traveling waves is generalized to a large class of scalar nonlinear integral equations and is applied to some time-delayed reaction and diffusion population models.

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KW - Minimal wave speeds

KW - Nonlinear integral equations

KW - Population models

KW - Traveling waves

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JO - Journal of Differential Equations

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Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models

Abstract

Keywords

ASJC Scopus subject areas

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