Publication: Comparison of Some COVID-19 Data with Solutions of the SIR-model
Дата
2022
Авторы
Vigdorowitsch, M.
Kudryashov, N. A.
Chmykhov, M. A.
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© 2022 American Institute of Physics Inc.. All rights reserved.A classic two-parameter epidemiological SIR-model of the coronavirus propagation is considered. The first integrals of the system of non-linear equations are obtained. The Painlevé test shows that the system of equations is not integrable in the general case. Using the first integrals of the system of equations, analytical dependencies for the number of infected patients I(R) depends on recovered patients R. It is demonstrated that data on morbidity in Hubei (China), Italy, Austria, South Korea, Moscow (Russia) as well some Australian territories are satisfactorily described by the expressions obtained for I(R).
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Vigdorowitsch, M. Comparison of Some COVID-19 Data with Solutions of the SIR-model / Vigdorowitsch, M., Kudryashov, N.A., Chmykhov, M.A. // AIP Conference Proceedings. - 2022. - 2425. - 10.1063/5.0081623