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Time-delayed reaction-diffusion fronts

A time-delayed second-order approximation for the front speed in reaction-dispersion systems was obtained by Fort and Méndez [Phys. Rev. Lett. 82, 867 (1999)]. Here we show that taking proper care of the effect of the time delay on the reactive process yields a different evolution equation and, therefore, an alternate equation for the front speed. We apply the new equation to the Neolithic transition. For this application the new equation yields speeds about 10% slower than the previous one

© Physical Review E, 2009, vol. 80, núm. 5, p. 057103

American Physical Society

Author: Isern Sardó, Neus
Fort, Joaquim
Date: 2009
Abstract: A time-delayed second-order approximation for the front speed in reaction-dispersion systems was obtained by Fort and Méndez [Phys. Rev. Lett. 82, 867 (1999)]. Here we show that taking proper care of the effect of the time delay on the reactive process yields a different evolution equation and, therefore, an alternate equation for the front speed. We apply the new equation to the Neolithic transition. For this application the new equation yields speeds about 10% slower than the previous one
Format: application/pdf
ISSN: 1539-3755 (versió paper)
1550-2376 (versió electrònica)
Document access: http://hdl.handle.net/10256/7709
Language: eng
Publisher: American Physical Society
Collection: Reproducció digital del document publicat a: http://link.aps.org/doi/10.1103/PhysRevE.80.057103
Articles publicats (D-F)
Is part of: © Physical Review E, 2009, vol. 80, núm. 5, p. 057103
Rights: Tots els drets reservats
Subject: Equacions de reacció-difusió
Reaction-diffusion equations
Neolític -- Models matemàtics
Neolithic period -- Mathematical models
Title: Time-delayed reaction-diffusion fronts
Type: info:eu-repo/semantics/article
Repository: DUGiDocs

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