Preview

Nuclear Physics and Engineering

Advanced search

TOWARDS THE DETERMINATION OF RATE CONSTANTS OF EPIDEMIOLOGICAL TRANSITIONS IN THE SEIR MODEL

https://doi.org/10.56304/S2079562925060119

EDN: TIIDKY

Abstract

Possible approaches to determining the rate constants of epidemiological transitions for the SEIR model of epidemic spread are discussed. Using the analogy of the basic ER model with the equations of physical and chemical kinetics, it is proposed to include both physical and biomedical, as well as socio-cultural factors characterizing the society in question, depending on the rates of epidemiological transitions.

About the Authors

A. R. Karimov
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute); Institute for High Temperatures of the Russian Academy of Sciences
Russian Federation


M. A. Solomatin
National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Russian Federation


References

1. Колесниченко А.А. Сравнительный анализ моделей распространения инфекций // Общество, образование, наука в современных парадигмах развития. 2020. C. 214.

2. Tolles J., Luong T.B. Modeling epidemics with compartmental models // J. Am. Med. Assoc. 2020. V. 323 (24). P. 2515–2516.

3. Tang L. et al. A review of multi-compartment infectious disease models // Int. Stat. Rev. 2020. V. 88 (2). P. 462– 513.

4. Акимов В.А., Бедило М.В., Иванова Е.О. Математические модели эпидемий и пандемий как источников чрезвычайных ситуаций биологосоциального характера // Технологии гражданской безопасности. 2022. T. 19. № 3 (73). C. 10.

5. Братусь А.С., Новожилов А.С., Платонов А.П. Динамические системы и модели биологии. 2010. Москва: Физматлит.

6. Эмануэль Н.М., Кнорре Д.Г. Курс химической кинетики. 1984. Москва: Высшая школа.

7. Karimov A.R., Stenflo L., Yu M.Y. Dynamics of charged aerosols relevant to transmission of airborne infections // Phys. Scr. 2022. V. 97 (8). P. 085007.

8. Каримов А.Р., Соломатин М.А. Особенности распространения аэрозольных частиц в техногенных условиях // Вестник НИЯУ МИФИ. 2024. T. 13 (1). C. 30–39.

9. Virgo S.E. Loschmidt’s Number // Sci. Prog. (London, U. K.). 1933. V. 27 (108). P. 634–649.

10. Liska D., Gritsev V. The Loschmidt Index // SciPost Phys. 2021. V. 10 (5). P. 100.

11. Dunbar R. How many friends does one person need? Dunbar’s number and other evolutionary quirks. 2010. London: Faber and Faber, Ltd.

12. Wellman B. Is Dunbar’s number up? // Br. J. Med. Psychol. 2012. V. 103 (2).

13. Karimov A.R., Schamel H. Singular flow dynamics in three space dimensions driven by advection // Phys. Plasmas. 2002. V. 9 (3). P. 811.

14. Karimov A.R., Korshunov A.M., Beklemishev V.V. Influence of chemical reactions on the nonlinear dynamics of dissipative flows // Phys. Scr. 2015. V. 90 (8). P. 085203.

15. Leonov A.S., Nagornov O.V., Tyuflin S.A. Statement of the inverse problem for Covid-19 variable parameters and algorithm for its solution // AIP Conf. Proc. 2023. V. 2849 (1). P. 400001.

16. Carcione J.M. et al. A simulation of a COVID-19 epidemic based on a deterministic SEIR model // Front. Public Health. 2020. V. 8. P. 230.

17. He S., Peng Y., Sun K. SEIR modeling of the COVID-19 and its dynamics // Nonlinear Dyn. 2020. V. 101. P. 1667–1680.


Review

For citations:


Karimov A.R., Solomatin M.A. TOWARDS THE DETERMINATION OF RATE CONSTANTS OF EPIDEMIOLOGICAL TRANSITIONS IN THE SEIR MODEL. Nuclear Physics and Engineering. 2026;17(2):183-187. (In Russ.) https://doi.org/10.56304/S2079562925060119. EDN: TIIDKY

Views: 36

JATS XML


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2079-5629 (Print)
ISSN 2079-5637 (Online)