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Matem. Mod., 2017, Volume 29, Number 11, Pages 40–52 (Mi mm3906)  

Modeling of ecosystems as a process of self-organization

N. T. Levashova, A. A. Melnikova, D. V. Luk'yanenko, A. E. Sidorova, S. V. Bytsura

Lomonosov Moscow State University, Faculty of Physics, Moscow

Abstract: The authors propose to use the model of the activator-inhibitor for the description of ecosystems, that are small towns surrounded by countryside. The basis of the presented model is based on the authors modified FitzHugh–Nagumo system of equations. The paper deals with analytical and numerical study of stationary solutions of the system.

Keywords: urban ecosystem, self-organization, active media, internal transition layer, Rosenbrock scheme, error corridor.

Funding Agency Grant Number
Russian Foundation for Basic Research 15-01-04619_а


Full text: PDF file (672 kB)
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Received: 22.09.2016

Citation: N. T. Levashova, A. A. Melnikova, D. V. Luk'yanenko, A. E. Sidorova, S. V. Bytsura, “Modeling of ecosystems as a process of self-organization”, Matem. Mod., 29:11 (2017), 40–52

Citation in format AMSBIB
\Bibitem{LevMelLuk17}
\by N.~T.~Levashova, A.~A.~Melnikova, D.~V.~Luk'yanenko, A.~E.~Sidorova, S.~V.~Bytsura
\paper Modeling of ecosystems as a process of self-organization
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 11
\pages 40--52
\mathnet{http://mi.mathnet.ru/mm3906}
\elib{http://elibrary.ru/item.asp?id=30462928}


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