TY - JOUR

T1 - Identification of a Mathematical Model of Economic Development of Two Regions of the World

AU - Bezgachev, Mikhail V.

AU - Shishlenin, Maxim A.

AU - Sokolov, Alexander V.

N1 - The work of M. V. Bezgachev and M. A. Shishlenin was carried out with the financial support of the Russian Federation represented by the Ministry of Education and Science of Russia, Agreement No. 075-15-2021-947. The work of A.V. Sokolov was carried out according to the plan of the Research Institute of IEPP SB RAS, the project “Integration and interaction of mesoeconomical systems and markets in Russia and its eastern regions: methodology, analysis, forecasting”, No. 121040100284-9.

PY - 2024

Y1 - 2024

N2 - This paper is devoted to solving the inverse problem (determining the parameters of a system of ordinary differential equations based on additional information determined at discrete points in time) and analyzing its solution for a mathematical model describing the dynamics of changes in the population and capital of two regions of the world. The inverse problem is reduced to the problem of minimizing the target functional and is solved by the method of differential evolution. A numerical method for solving direct and inverse problems is implemented. The developed method was tested on model and real data for countries such as Russia, China, India and the USA.

AB - This paper is devoted to solving the inverse problem (determining the parameters of a system of ordinary differential equations based on additional information determined at discrete points in time) and analyzing its solution for a mathematical model describing the dynamics of changes in the population and capital of two regions of the world. The inverse problem is reduced to the problem of minimizing the target functional and is solved by the method of differential evolution. A numerical method for solving direct and inverse problems is implemented. The developed method was tested on model and real data for countries such as Russia, China, India and the USA.

KW - direct problem

KW - economic development

KW - inverse problem

KW - mathematical model

KW - population

KW - system of ordinary differential equations

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85187721524&origin=inward&txGid=68a2740a79649b085ae39e1c6ed51ab1

UR - https://elibrary.ru/item.asp?id=61168663

UR - https://www.mendeley.com/catalogue/f4126f12-45b1-36cc-9882-a19ae0c6ab02/

U2 - 10.26516/1997-7670.2024.47.12

DO - 10.26516/1997-7670.2024.47.12

M3 - Article

VL - 47

SP - 12

EP - 30

JO - Bulletin of Irkutsk State University, Series Mathematics

JF - Bulletin of Irkutsk State University, Series Mathematics

SN - 1997-7670

ER -