I. S. Kashchenko, S. A. Kashchenko, “Dynamics of strongly coupled spatially distributed logistic equations with delay”, Zh. Vychisl. Mat. Mat. Fiz., 2015, Volume 55, Number 4,Pages <nobr>610

This article is cited in 3 papers

Dynamics of strongly coupled spatially distributed logistic equations with delay

I. S. Kashchenko^ab, S. A. Kashchenko^ba

^a Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia
^b National Research Nuclear University “MEPhI”, Kashirskoe sh. 31, Moscow, 115409, Russia

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.

UDC: 519.62

MSC: Primary 5F50; Secondary 35B10, 35B25, 35C20, 35R09, 35R10

Received: 11.03.2014
Revised: 20.05.2014

DOI: 10.7868/S0044466915010093