This article is cited in 2 papers

“Nonlinear skeletons” in the spatio-temporal ecological models

V. G. Il'ichev

Institution of Russian Academy of Sciences, Southern Scientific Center of RAS

Abstract: That many families of the biological competition models turn out to be convex compact (in a certain function space), which extreme points allow the exact description is discovered. The corresponding to extreme point to models (“nonlinear skeletons”) are made enough simply so for them possible it is enough full study as temporary, so and spatial effect in dynamics of competitors. The mathematical base of the study are a geometric methods of the nonlinear analysis (the monotonous operators theory) and computer experiments with models.

Keywords: discrete models, population, competition, migration, matrix, stability.

UDC: 62.501.72+577.4

Received: 24.05.2010

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