This article is cited 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

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.

UDC: 519.62

MSC: Primary 92D25; Secondary 35K45, 35K57

Received: 23.09.2014

DOI: 10.7868/S0044466915030151

 English version: Computational Mathematics and Mathematical Physics, 2015, 55:3, 432–436

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