Mathematical Modeling of Household Economy in Russia

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...

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Detalles Bibliográficos
Autores principales: Shananin, A. A., Tarasenko, M. V., Trusov, N. V.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Pleiades Publishing 2021
Materias:
Information Science
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8312371/
http://dx.doi.org/10.1134/S0965542521060130
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author Shananin, A. A.
Tarasenko, M. V.
Trusov, N. V.
author_facet Shananin, A. A.
Tarasenko, M. V.
Trusov, N. V.
author_sort Shananin, A. A.
collection PubMed
description 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.
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spelling pubmed-83123712021-07-26 Mathematical Modeling of Household Economy in Russia Shananin, A. A. Tarasenko, M. V. Trusov, N. V. Comput. Math. and Math. Phys. Information Science 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. Pleiades Publishing 2021-07-26 2021 /pmc/articles/PMC8312371/ http://dx.doi.org/10.1134/S0965542521060130 Text en © Pleiades Publishing, Ltd. 2021, ISSN 0965-5425, Computational Mathematics and Mathematical Physics, 2021, Vol. 61, No. 6, pp. 1030–1051. © Pleiades Publishing, Ltd., 2021.Russian Text © The Author(s), 2021, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2021, Vol. 61, No. 6, pp. 1034–1056. This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Information Science
Shananin, A. A.
Tarasenko, M. V.
Trusov, N. V.
Mathematical Modeling of Household Economy in Russia
title Mathematical Modeling of Household Economy in Russia
title_full Mathematical Modeling of Household Economy in Russia
title_fullStr Mathematical Modeling of Household Economy in Russia
title_full_unstemmed Mathematical Modeling of Household Economy in Russia
title_short Mathematical Modeling of Household Economy in Russia
title_sort mathematical modeling of household economy in russia
topic Information Science
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8312371/
http://dx.doi.org/10.1134/S0965542521060130
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