Dynamics of strongly coupled spatially distributed logistic equations with delay
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 4, pp. 610-620

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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.
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I. S. Kashchenko; S. A. Kashchenko. Dynamics of strongly coupled spatially distributed logistic equations with delay. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 4, pp. 610-620. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_4_a8/