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Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, Number 2(13), Pages 55–61 (Mi vkam132)  

MATHEMATICAL MODELING

On a dynamic hereditarity system that simulates the economic cycle

D. V. Makarov

Vitus Bering Kamchatka State University, 683031, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia

Abstract: The paper presents a mathematical model that generalizes the famous Kondratiev cycles model (model Dubovskiy) used to predict economic crises. This generalization is to integrate the memory effect, which occurs frequently in the economic system. With the help of numerical methods, to receive a generalized model, according to which the phase paths have been built.

Keywords: cycles, the economic crisis, the model Dubovskiy, fractional derivative operator Gerasimova-Caputo, a memory effect, the fractal dimension.

DOI: https://doi.org/10.18454/2079-6641-2016-13-2-55-61

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English version:
Bulletin KRASEC. Physical and Mathematical Sciences, 2016, 13:2, 50–56

Bibliographic databases:

UDC: 517. 925.42
MSC: 93A30
Received: 25.03.2016

Citation: D. V. Makarov, “On a dynamic hereditarity system that simulates the economic cycle”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 2016, no. 2(13), 55–61; Bulletin KRASEC. Phys. & Math. Sci., 13:2 (2016), 50–56

Citation in format AMSBIB
\Bibitem{Mak16}
\by D.~V.~Makarov
\paper On a dynamic hereditarity system that simulates the economic cycle
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2016
\issue 2(13)
\pages 55--61
\mathnet{http://mi.mathnet.ru/vkam132}
\crossref{https://doi.org/10.18454/2079-6641-2016-13-2-55-61}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3535558}
\elib{http://elibrary.ru/item.asp?id=26527431}
\transl
\jour Bulletin KRASEC. Phys. & Math. Sci.
\yr 2016
\vol 13
\issue 2
\pages 50--56
\crossref{https://doi.org/10.18454/2313-0156-2016-13-2-50-56}


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