Abstract

An unusual method for the analysis of a class of reaction-diffusion systems is presented. Through an integration the system is reduced to a single reaction-diffusion equation with inhomogeneous terms arising from the initial conditions. The method is limited in its applicability but very quickly yields important results when it can be used. Some applications in epidemiology, chemistry, mycology and ecology are given.

Original languageEnglish
Pages (from-to)43-47
Number of pages5
JournalApplied Mathematics Letters
Volume4
Issue number1
DOIs
Publication statusPublished - 1991

Fingerprint

Reaction-diffusion System
Epidemiology
Ecology
Fungi
Reaction-diffusion Equations
Chemistry
Initial conditions
Term
Class

Cite this

An integral for a reaction-diffusion system. / Britton, N. F.

In: Applied Mathematics Letters, Vol. 4, No. 1, 1991, p. 43-47.

Research output: Contribution to journalArticle

@article{411dcdac1fd4444d82e83dc743f45c9f,
title = "An integral for a reaction-diffusion system",
abstract = "An unusual method for the analysis of a class of reaction-diffusion systems is presented. Through an integration the system is reduced to a single reaction-diffusion equation with inhomogeneous terms arising from the initial conditions. The method is limited in its applicability but very quickly yields important results when it can be used. Some applications in epidemiology, chemistry, mycology and ecology are given.",
author = "Britton, {N. F.}",
year = "1991",
doi = "10.1016/0893-9659(91)90120-K",
language = "English",
volume = "4",
pages = "43--47",
journal = "Applied Mathematics Letters",
issn = "0893-9659",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - An integral for a reaction-diffusion system

AU - Britton, N. F.

PY - 1991

Y1 - 1991

N2 - An unusual method for the analysis of a class of reaction-diffusion systems is presented. Through an integration the system is reduced to a single reaction-diffusion equation with inhomogeneous terms arising from the initial conditions. The method is limited in its applicability but very quickly yields important results when it can be used. Some applications in epidemiology, chemistry, mycology and ecology are given.

AB - An unusual method for the analysis of a class of reaction-diffusion systems is presented. Through an integration the system is reduced to a single reaction-diffusion equation with inhomogeneous terms arising from the initial conditions. The method is limited in its applicability but very quickly yields important results when it can be used. Some applications in epidemiology, chemistry, mycology and ecology are given.

UR - http://www.scopus.com/inward/record.url?scp=33745018704&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1016/0893-9659(91)90120-K

U2 - 10.1016/0893-9659(91)90120-K

DO - 10.1016/0893-9659(91)90120-K

M3 - Article

VL - 4

SP - 43

EP - 47

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

SN - 0893-9659

IS - 1

ER -