Abstract: 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.

Cite: Bezgachev M.V. , Shishlenin M.A. , Sokolov A.V.
Identification of a Mathematical Model of Economic Development of Two Regions of the World
Известия Иркутского государственного университета. Серия: Математика (Bulletin of Irkutsk State University. Series Mathematics). 2024. V.47. P.12-30. DOI: 10.26516/1997-7670.2024.47.12 WOS Scopus РИНЦ OpenAlex

Dates:

Submitted:	Oct 14, 2023
Accepted:	Dec 11, 2023
Published print:	Mar 5, 2024
Published online:	Mar 5, 2024

Identifiers:

Web of science:	WOS:001179578400003
Scopus:	2-s2.0-85187721524
Elibrary:	61168663
OpenAlex:	W4392398444

Citing: Пока нет цитирований

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