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Computer Research and Modeling, 2011, Volume 3, Issue 1, Pages 55–61
DOI: https://doi.org/10.20537/2076-7633-2011-3-1-55-61
(Mi crm547)
 

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Convection effect on two-dimensional dynamicsin the nonlocal reaction-diffusion model

A. V. Borisova, A. Yu. Trifonovb, A. V. Shapovalova

a Tomsk State University, 36 Lenin Prospekt, Tomsk, 634050, Russia
b Tomsk State Polytechnic University, 30 Lenin Prospekt, Tomsk, 634050, Russia
References:
Abstract: Pattern formation described by the scalar Fisher–Kolmogorov–Petrovsky–Piscounov equation with nonlocal competition loses and convection linear on coordinates is considered numerically. Initial function localized around a point is shown to transform in a function localized around a ring with symmetrically sited local maxima. The ring radius and number of maxima depend on convection.
Keywords: reaction-diffusion, convection, nonlocal competition losses, Fisher–Kolmogorov–Petrovsky–Piscounov equation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2.1.1/12999
02.740.11.0238
П691
П789
Received: 10.02.2011
Document Type: Article
UDC: 519.8
Language: Russian
Citation: A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Convection effect on two-dimensional dynamicsin the nonlocal reaction-diffusion model”, Computer Research and Modeling, 3:1 (2011), 55–61
Citation in format AMSBIB
\Bibitem{BorTriSha11}
\by A.~V.~Borisov, A.~Yu.~Trifonov, A.~V.~Shapovalov
\paper Convection effect on two-dimensional dynamicsin the nonlocal reaction-diffusion model
\jour Computer Research and Modeling
\yr 2011
\vol 3
\issue 1
\pages 55--61
\mathnet{http://mi.mathnet.ru/crm547}
\crossref{https://doi.org/10.20537/2076-7633-2011-3-1-55-61}
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