Educational Model of Economic Cycles

Authors

  • Alexander Liapzev Herzen State Pedagogical University of Russia, Moika river embankment, 48, 191186, Saint Petersburg, Russia

DOI:

https://doi.org/10.32603/2071-2340-2021-3-5-16

Keywords:

computer modeling, mathematical model, modeling of economic processes.

Abstract

A training model describing economic cycles, based on the well-known Goodwin model is proposed. The modification of the model is described, that allow to use it to carry out numerical experiment in teaching course of modeling with the help of computer. It is shown that the numerical results obtained using the proposed model correspond well to the analytical analysis of the properties of the Goodwin model, which is usually given in the literature.

 

Author Biography

  • Alexander Liapzev, Herzen State Pedagogical University of Russia, Moika river embankment, 48, 191186, Saint Petersburg, Russia

    PhD, professor of the Department of methods of teaching physics at Herzen University, upm_eno@mail.ru

References

V. V. Glazkov, A. S. Kondratyev, and A. V. Lyaptsev, “Mathematical modeling at physics studying,” Fizicheskoe Obrazovanie v VUZah, vol. 13, no. 4, pp. 38–52, 2007 (in Russian).

A. S. Kondrat’ev and A. V. Lyaptsev, “Matematicheskoe modelirovanie: analiticheskie i vychislitel’nye metody” [Mathematical modeling: analytical and computational methods], Computer Tools in Education, no. 5, pp. 20–24, 2007 (in Russian).

A. S. Kondrat’ev and A. V. Lyaptsev, Fizika. Zadachi na komp’yutere [Physics. Tasks on the computer], Moscow.: Fizmatlit, 2008 (in Russian).

G. A. Bordovskii, A. S. Kondrat’ev, A. Chouderi, Fizicheskie osnovy matematicheskogo modelirovaniya: uchebnik i praktikum dlya bakalavriata i magistratury [Physical foundations of mathematical modeling: a textbook and workshop for undergraduate and graduate programs], Moscow: Yurait, 2019 (in Russian).

D. I. Trubetskov, “Phenomenon of lotka-volterra mathematical model and similar models,” Izvestiya VUZ. Applied Nonlinear Dynamics, vol. 19, no. 2, pp. 69–88, 2011 (in Russian); doi: 10.18500/0869-6632-2011-19-2-69-88

M. S. Tsyganova, Modelirovanie ekonomicheskikh protsessov i sistem [Modeling of economic processes and systems], Moscow.: Prospekt, 2017 (in Russian).

D. I. Trubetskov, Vvedenie v sinergetiku: khaos i struktury [Introduction to Synergetics: Chaos and Structures], Moscow.: Knizhnyi dom LIBROKOM, 2014 (in Russian).

H. W. Lorenz, Nonlinear dynamical economics and chaotic motion, 2nd ed., Berlin-Heidelberg-New York: Springer, 1993.

I. A. Bashkirtseva, E. D. Ekaterinchuk, T. V. Ryazanova, and A. A. Sysolyatina, “Mathematical modeling of stochastic equilibria and business cycles of goodwin model,” Computer Research and Modeling, vol. 5, no. 1, pp. 107–118, 2013 (in Russian); doi: 10.20537/2076-7633-2013-5-1-107-118

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Published

2022-03-08

Issue

Section

Algorithmic mathematics and mathematical modelling

How to Cite

[1]
A. Liapzev, “Educational Model of Economic Cycles”, Компьютерные инструменты в образовании, no. 3, pp. 5–16, Mar. 2022, doi: 10.32603/2071-2340-2021-3-5-16.

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