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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 6, Pages 1034–1056
DOI: https://doi.org/10.31857/S0044466921060132 (Mi zvmmf11257) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Computer science

Mathematical modeling of household economy in Russia

M. V. Tarasenkoa, N. V. Trusovb, A. A. Shananinbcd

a Lomonosov MSU Business School, 119234, Moscow, Russia
b Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, 119991, Moscow, Russia
c Federal Research Center "Computer Science and Control", Russian Academy of Sciences, 119333, Moscow, Russia
d Рeoples’ Friendship University of Russia (RUDN University), 117198, Moscow, Russia
Citations (16)
DOI: https://doi.org/10.31857/S0044466921060132
Abstract: An optimal control problem modeling the economic behavior of a representative household is studied. The existence of its solution is proved, necessary optimality conditions in the form of the Pontryagin–Clarke maximum principle are obtained, and an optimal control synthesis is constructed. The model is identified against Russian statistical data. The model is used to analyze consumer crediting in Russia and its influence on the household economy under COVID-19 pandemic conditions.
Key words: Ramsey model, consumer credit, optimal control synthesis, maximum principle, mathematical modeling, regression analysis.
Funding agency Grant number
Russian Foundation for Basic Research 20-07-00285
This work was supported by the Russian Foundation for Basic Research, project no. 20-07-00285.
Received: 18.08.2020
Revised: 18.08.2020
Accepted: 16.09.2020
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 6, Pages 1030–1051
DOI: https://doi.org/10.1134/S0965542521060130
Bibliographic databases:
Document Type: Article
UDC: 519.86
Language: Russian
Citation: M. V. Tarasenko, N. V. Trusov, A. A. Shananin, “Mathematical modeling of household economy in Russia”, Zh. Vychisl. Mat. Mat. Fiz., 61:6 (2021), 1034–1056; Comput. Math. Math. Phys., 61:6 (2021), 1030–1051
Citation in format AMSBIB
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