Analytical solution and adaptation to the parameter estimation of the SIR model
Тип публікації :
Стаття
Дата випуску :
2020
Автор(и) :
Ivanov, S. M.
Мова основного тексту :
Англійська
eKNUTSHIR URL :
Випуск :
4
ISSN :
1812-5409
Початкова сторінка :
40
Кінцева сторінка :
43
Цитування :
[APA 7] Ivanov, S. M. (2020). Analytical solution and adaptation to the parameter estimation of the SIR model. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics, (4), 40–43. https://doi.org/10.17721/1812-5409.2020/4.6
[ДСТУ] Ivanov S. M. Analytical solution and adaptation to the parameter estimation of the SIR model. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics. 2020. no. 4. P. 40—43. DOI: 10.17721/1812-5409.2020/4.6 (date of access: 25.07.2026).
The article deals with analytical solution and adaptation to the parameter estimation of the SIR model of the epidemic. By a special replacement of the exponential function by inverse proportionality, the approximate general solution of the SIR model is found. It is spoken in detail about the process of integration of ordinary differential equations of the SIR model. The equality of the sum of the obtained analytical solutions and population size is checked. The obtained solutions are simple and understandable. To parametrically estimate the SIR model, its general solution is adapted to paired linear regressions. The article is of interest for students, graduate students and scientists involved in mathematical epidemiology.Key words: SIR model, parameter estimation, analytical solution.Pages of the article in the issue: 40 - 43Language of the article: Ukrainian
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