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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 3, Pages 429–434
DOI: https://doi.org/10.7868/S0044466915030151 (Mi zvmmf10170) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Leader in a diffusion competition model

V. N. Razzhevaikin

Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
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DOI: https://doi.org/10.7868/S0044466915030151
Abstract: A one-dimensional Cauchy problem is considered for a system of reaction-diffusion equations that, in the point version, generalizes the Volterra competition model. It is proved that the number of the leader in the propagation velocity of nonvanishing solution values at the periphery is independent of nonnegative finite initial distributions.
Key words: competition model, reaction-diffusion system, propagation velocity.
Received: 23.09.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 3, Pages 432–436
DOI: https://doi.org/10.1134/S0965542515030148
Bibliographic databases:
Document Type: Article
UDC: 519.62
MSC: Primary 92D25; Secondary 35K45, 35K57
Language: Russian
Citation: V. N. Razzhevaikin, “Leader in a diffusion competition model”, Zh. Vychisl. Mat. Mat. Fiz., 55:3 (2015), 429–434; Comput. Math. Math. Phys., 55:3 (2015), 432–436
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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