Identification of a mathematical model of economic development of two regions of the world

Mikhail V. Bezgachev   ; Maxim A. Shishlenin   ; Alexander V. Sokolov

The Bulletin of Irkutsk State University. Series Mathematics, Tome 47 (2024), pp. 12-30

Résumé

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.

Détail

Keywords: mathematical model, system of ordinary differential equations, economic development, inverse problem, direct problem.
Mots-clés : population

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