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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 4, Pages 610–620
DOI: https://doi.org/10.7868/S0044466915010093 (Mi zvmmf10188) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Dynamics of strongly coupled spatially distributed logistic equations with delay

I. S. Kashchenkoab, S. A. Kashchenkoba

a Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia
b National Research Nuclear University “MEPhI”, Kashirskoe sh. 31, Moscow, 115409, Russia
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DOI: https://doi.org/10.7868/S0044466915010093
Abstract: The dynamics of a system of two logistic delay equations with spatially distributed coupling is studied. The coupling coefficient is assumed to be sufficiently large. Special nonlinear systems of parabolic equations are constructed such that the behavior of their solutions is determined in the first approximation by the dynamical properties of the original system.
Key words: system of spatially distributed logistic delay equations, asymptotic analysis, special nonlinear parabolic systems, dynamical properties of systems.
Received: 11.03.2014
Revised: 20.05.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 4, Pages 607–617
DOI: https://doi.org/10.1134/S0965542515010091
Bibliographic databases:
Document Type: Article
UDC: 519.62
MSC: Primary 5F50; Secondary 35B10, 35B25, 35C20, 35R09, 35R10
Language: Russian
Citation: I. S. Kashchenko, S. A. Kashchenko, “Dynamics of strongly coupled spatially distributed logistic equations with delay”, Zh. Vychisl. Mat. Mat. Fiz., 55:4 (2015), 610–620; Comput. Math. Math. Phys., 55:4 (2015), 607–617
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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