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Inverse Coefficient Problem for Epidemiological Mean-Field Formulation Научная публикация

Журнал

Mathematics
, E-ISSN: 2227-7390

Вых. Данные

Год: 2024, Том: 12, Номер: 22, Номер статьи : 3581, Страниц : 19 DOI: 10.3390/math12223581

Ключевые слова

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

Авторы

Petrakova Viktoriya ^1,2

Организации

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

Информация о финансировании (1)

Институт математики им. С.Л. Соболева СО РАН

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

Поступила в редакцию:	3 окт. 2024 г.
Принята к публикации:	14 нояб. 2024 г.
Опубликована в печати:	15 нояб. 2024 г.
Опубликована online:	15 нояб. 2024 г.

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

БД	Цитирований
Scopus	1
Web of science	1