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Matematicheskoe modelirovanie, 2011, Volume 23, Number 2, Pages 125–147 (Mi mm3079)  

This article is cited in 2 scientific papers (total 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
Full-text PDF (464 kB) Citations (2)
References:
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.
Received: 24.05.2010
Bibliographic databases:
Document Type: Article
UDC: 62.501.72+577.4
Language: Russian
Citation: V. G. Il'ichev, ““Nonlinear skeletons” in the spatio-temporal ecological models”, Matem. Mod., 23:2 (2011), 125–147
Citation in format AMSBIB
\Bibitem{Ili11}
\by V.~G.~Il'ichev
\paper ``Nonlinear skeletons'' in the spatio-temporal ecological models
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 2
\pages 125--147
\mathnet{http://mi.mathnet.ru/mm3079}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2848800}
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  • https://www.mathnet.ru/eng/mm3079
  • https://www.mathnet.ru/eng/mm/v23/i2/p125
  • 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
    Математическое моделирование
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    Abstract page:806
    Full-text PDF :149
    References:41
    First page:14
     
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