Abstract: The article presents a method for reconstructing the parameters of dynamic model. The models is described by a system of ordinary differential equations with the number of parameters in the right-hand side exceeding the number of sought functions. To determine the parameters, f irstly the indefinite system of algebraic equations with a rectangular matrix is constructed which resulting from the approximation of the system of differential equations taking into account the known values of the functions given at two successive moments in time. In addition, secondly the smooth change of parameters over time is involved. Simultaneous minimization of the residual for the underdetermined system and the sum of squares of the parameter differences at two successive moments of time leads to a regularized system of linear algebraic equations with a positive definite matrix and with a unique solution. The presented method is compared with the method of solving the inverse problem of restoring parameters in the frame of the epidemiological model SEIR-HCD. The comparison showed as mallererrorin the presented method compared to the traditional method of solving the inverse problem.

Cite: Shaydurov V. , Petrakova V.
Correction of Dynamic Model Parameters by Observed Data
Lobachevskii Journal of Mathematics. 2025. V.46. N2. P.879-887. DOI: 10.1134/s1995080225600281 WOS Scopus OpenAlex

Dates:

Submitted:	Nov 30, 2024
Accepted:	Dec 25, 2024
Published print:	Feb 18, 2025
Published online:	Jun 16, 2025

Identifiers:

Web of science:	WOS:001510035500026
Scopus:	2-s2.0-105008523651
OpenAlex:	W4411340017

Citing: Пока нет цитирований

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