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Matematicheskoe modelirovanie, 1997, Volume 9, Number 9, Pages 3–17 (Mi mm1453)  

This article is cited in 9 scientific papers (total in 9 papers)

Mathematical models and computer experiment

Modelling ecological systems by a given “storage-flow” diagram

N. N. Zavalishin, D. O. Logofet

A. M. Obukhov Institute of Atmospheric Physics, Russian Academy of Sciences
Abstract: Properties are investigated of a class of ecosystem models to be constructed by “storage-flow” diagrams well-known in mathematical ecology. An algorithm to construct such dynamic models was proposed by Yu. M. Svirezhev. For the resulting systems of ordinary differential equations dissipativeness conditions, the invariance of nonnegative cone in the phase space, and the form of the Jacobi matrix in equilibrium are established. Examples are presented of numerical experiments with models of a particular wetland ecosystem.
Received: 26.09.1996
Bibliographic databases:
Language: Russian
Citation: N. N. Zavalishin, D. O. Logofet, “Modelling ecological systems by a given “storage-flow” diagram”, Matem. Mod., 9:9 (1997), 3–17
Citation in format AMSBIB
\Bibitem{ZavLog97}
\by N.~N.~Zavalishin, D.~O.~Logofet
\paper Modelling ecological systems by a given ``storage-flow'' diagram
\jour Matem. Mod.
\yr 1997
\vol 9
\issue 9
\pages 3--17
\mathnet{http://mi.mathnet.ru/mm1453}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1482193}
\zmath{https://zbmath.org/?q=an:0993.92502}
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  • This publication is cited in the following 9 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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