Inverse Coefficient Problem for Epidemiological Mean-Field Formulation

Inverse Coefficient Problem for Epidemiological Mean-Field Formulation Full article

Journal

Mathematics
, E-ISSN: 2227-7390

Output data

Year: 2024, Volume: 12, Number: 22, Article number : 3581, Pages count : 19 DOI: 10.3390/math12223581

Tags

SIR mean-field problem; inverse coefficient epidemiological problems; optimization problem; Nelder–Mead method

Authors

Petrakova Viktoriya ^1,2

Affiliations

1	Institute of Computational Modeling, Siberian Branch of the Russian Academy of Sciences, Akademgorodok, 50/44, 660036 Krasnoyarsk, Russia
2	Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Koptyuga Ave., 4, 630090 Novosibirsk, Russia

Funding (1)

Sobolev Institute of Mathematics

FWNF-2024-0002

The paper proposes an approach to solving the inverse epidemiological problem, written in terms of the “mean-field” theory. Finding the coefficients of an epidemiological SIR mean-field model is reduced to solving an optimization problem, for the solution of which only zero-order methods can be used. An algorithm for the solution of the inverse coefficient problem is proposed. Computational experiments were carried out to compare the obtained solutions with respect to synthetic and real data. The results of computational experiments have shown the efficiency of this approach. Ways to further improve the approach have also been determined.

Petrakova V.
Inverse Coefficient Problem for Epidemiological Mean-Field Formulation
Mathematics. 2024. V.12. N22. 3581 :1-19. DOI: 10.3390/math12223581 WOS Scopus РИНЦ OpenAlex

Submitted:	Oct 3, 2024
Accepted:	Nov 14, 2024
Published print:	Nov 15, 2024
Published online:	Nov 15, 2024

Web of science:	WOS:001365539300001
Scopus:	2-s2.0-85210434268
Elibrary:	79302710
OpenAlex:	W4404480895

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