Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 148, Pages 75–82 (Mi into305)  
Study of a Three-Factor Dynamic System of the Region Economy with Considering of Final Consumption and Limited Resources

E. Yu. Liskina

Ryazan State University named for S. A. Esenin
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Abstract: A three-factor modification of the R. Solow model is constructed, taking into account final consumption and limited resources. The dynamics of a population is determined by the Ferhulst equation, the final consumption depends on the population. According to the Russian Federal State Statistics Service, the model parameters for the Ryazan Region were identified. The analytical and numerical study of the behavior of solutions of the resulting dynamical system is conducted.
Keywords: dynamic system, economic and mathematical model, modification of the Solow model, behavior of solutions.
English version:
Journal of Mathematical Sciences (New York), 2020, Volume 248, Issue 4, Pages 448–456
DOI: https://doi.org/10.1007/s10958-020-04885-z
Bibliographic databases:
Document Type: Article
UDC: 517.9:330.4
MSC: 37N40, 37N99
Language: Russian
Citation: E. Yu. Liskina, “Study of a Three-Factor Dynamic System of the Region Economy with Considering of Final Consumption and Limited Resources”, Proceedings of the International Conference “Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,” Ryazan, September 15–18, 2016, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 148, VINITI, M., 2018, 75–82; J. Math. Sci. (N. Y.), 248:4 (2020), 448–456
Citation in format AMSBIB
\Bibitem{Lis18}
\by E.~Yu.~Liskina
\paper Study of a Three-Factor Dynamic System of the Region Economy with Considering of Final Consumption and Limited Resources
\inbook Proceedings of the International Conference ``Geometric Methods in Control Theory and Mathematical Physics: Differential Equations, Integrability, and Qualitative Theory,'' Ryazan, September 15--18, 2016
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 148
\pages 75--82
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into305}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3847710}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2020
\vol 248
\issue 4
\pages 448--456
\crossref{https://doi.org/10.1007/s10958-020-04885-z}
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