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Numerical-statistical study of the prognostic efficiency of the SEIR model. / Lotova, Galiya Z.; Lukinov, Vitaliy L.; Marchenko, Mikhail A. и др.
в: Russian Journal of Numerical Analysis and Mathematical Modelling, Том 36, № 6, 01.12.2021, стр. 337-345.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Numerical-statistical study of the prognostic efficiency of the SEIR model
AU - Lotova, Galiya Z.
AU - Lukinov, Vitaliy L.
AU - Marchenko, Mikhail A.
AU - Mikhailov, Guennady A.
AU - Smirnov, Dmitrii D.
N1 - Numerical-statistical study of the prognostic efficiency of the SEIR model / G. Z. Lotova, V. L. Lukinov, M. A. Marchenko [et al.] // Russian Journal of Numerical Analysis and Mathematical Modelling. – 2021. – Vol. 36. – No 6. – P. 337-345. Publisher Copyright: © 2021 Walter de Gruyter GmbH, Berlin/Boston.
PY - 2021/12/1
Y1 - 2021/12/1
N2 - A comparative analysis of the differential and the corresponding stochastic Poisson SEIR-models is performed for the test problem of COVID-19 epidemic in Novosibirsk modelling the period from March 23, 2020 to June 21, 2020 with the initial population N = 2 798 170. Varying the initial population in the form N = n m with m ≥ 2, we show that the average numbers of identified sick patients is less (beginning from April 7, 2020) than the corresponding differential values by the quantity that does not differ statistically from C(t)/m, with C ≈ 27.3 on June 21, 2020. This relationship allows us to use the stochastic model for big population N. The practically useful 'two sigma' confidential interval for the time interval from June 1, 2020 to June 21, 2020 is about 108% (as to the statistical average) and involves the corresponding real statistical estimates. The influence of the introduction of delay on the prognosis, i.e., the incubation period corresponding to Poisson model is also studied.
AB - A comparative analysis of the differential and the corresponding stochastic Poisson SEIR-models is performed for the test problem of COVID-19 epidemic in Novosibirsk modelling the period from March 23, 2020 to June 21, 2020 with the initial population N = 2 798 170. Varying the initial population in the form N = n m with m ≥ 2, we show that the average numbers of identified sick patients is less (beginning from April 7, 2020) than the corresponding differential values by the quantity that does not differ statistically from C(t)/m, with C ≈ 27.3 on June 21, 2020. This relationship allows us to use the stochastic model for big population N. The practically useful 'two sigma' confidential interval for the time interval from June 1, 2020 to June 21, 2020 is about 108% (as to the statistical average) and involves the corresponding real statistical estimates. The influence of the introduction of delay on the prognosis, i.e., the incubation period corresponding to Poisson model is also studied.
KW - COVID-19
KW - Monte Carlo methods
KW - Poisson flow
KW - SEIR model
KW - statistical simulation
UR - http://www.scopus.com/inward/record.url?scp=85121774099&partnerID=8YFLogxK
UR - https://www.elibrary.ru/item.asp?id=47546206
U2 - 10.1515/rnam-2021-0027
DO - 10.1515/rnam-2021-0027
M3 - Article
AN - SCOPUS:85121774099
VL - 36
SP - 337
EP - 345
JO - Russian Journal of Numerical Analysis and Mathematical Modelling
JF - Russian Journal of Numerical Analysis and Mathematical Modelling
SN - 0927-6467
IS - 6
ER -
ID: 35240531