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Computer Research and Modeling, 2010, Volume 2, Issue 1, Pages 33–40
DOI: https://doi.org/10.20537/2076-7633-2010-2-1-33-40 (Mi crm576) 		 
This article is cited in 4 scientific papers (total in 4 papers)

MATHEMATICAL MODELING AND NUMERICAL SIMULATION

Numerical modeling of population 2D-dynamics with nonlocal interaction

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

a Tomsk State University, Lenin av., 36, Tomsk, Russia, 634050
b National Research Tomsk Polytechnic University, Lenin av., 30, Tomsk, Russia, 634050
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DOI: https://doi.org/10.20537/2076-7633-2010-2-1-33-40
Abstract: Numerical solutions for the two-dimensional reaction-diffusion equation with nonlocal nonlinearity are obtained. The solutions reveal formation of dissipative structures. Structures arising from initial distributions with one and several centers of localization are considered. Formation of extending circular structures is shown. Peculiarities of formation and interaction of extending circular structures depending on nonlocal interaction are considered.
Keywords: reaction-diffusion systems, nonlocal interactions, circular pattern formation.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 2.1.1/3436
02.740.11.0238
НК-526П(4)
Received: 24.03.2010
Revised: 03.05.2010
Document Type: Article
UDC: 577.3.01; 577.38
Language: Russian
Citation: A. V. Borisov, A. Yu. Trifonov, A. V. Shapovalov, “Numerical modeling of population 2D-dynamics with nonlocal interaction”, Computer Research and Modeling, 2:1 (2010), 33–40
Citation in format AMSBIB
\Bibitem{BorTriSha10}
\by A.~V.~Borisov, A.~Yu.~Trifonov, A.~V.~Shapovalov
\paper Numerical modeling of population 2D-dynamics with nonlocal interaction
\jour Computer Research and Modeling
\yr 2010
\vol 2
\issue 1
\pages 33--40
\mathnet{http://mi.mathnet.ru/crm576}
\crossref{https://doi.org/10.20537/2076-7633-2010-2-1-33-40}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Computer Research and Modeling
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