Data-driven regularization of inverse problem for SEIR-HCD model of covid-19 propagation in Novosibirsk region Full article
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Eurasian Journal of Mathematical and Computer Applications
ISSN: 2306-6172 , E-ISSN: 2308-9822 |
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Output data | Year: 2022, Volume: 10, Number: 1, Pages: 51-68 Pages count : 18 DOI: 10.32523/2306-6172-2022-10-1-51-68 | ||||
Tags | epidemiology, compartment modeling, basic reproduction number, COVID-19, inverse problem, regularization. | ||||
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Abstract:
The inverse problem for SEIR-HCD model of COVID-19 propagation in Novosibirsk region described by system of seven nonlinear ordinary differential equations (ODE) is numerical investigated. The inverse problem consists in identification of coefficients of ODE system (infection rate, portions of infected, hospitalized, mortality cases) and some initial conditions (initial number of asymptomatic and symptomatic infectious) by additional measurements about daily diagnosed, critical and mortality cases of COVID-19. Due to ill-posedness of inverse problem the regularization is applied based on usage of additional information about antibodies IgG to COVID-19 and detailed mortality statistics. The inverse problem is reduced to a minimization problem of misfit function. We apply data-driven approach based on combination of global (OPTUNA software) and gradient-type methods for solving the minimization problem. The numerical results show that adding new information and detailed statistics increased the forecasting scenario in 2 times.
Cite:
Krivorotko O.I.
, Zyatkov N.Y.
Data-driven regularization of inverse problem for SEIR-HCD model of covid-19 propagation in Novosibirsk region
Eurasian Journal of Mathematical and Computer Applications. 2022. V.10. N1. P.51-68. DOI: 10.32523/2306-6172-2022-10-1-51-68 WOS Scopus РИНЦ OpenAlex
Data-driven regularization of inverse problem for SEIR-HCD model of covid-19 propagation in Novosibirsk region
Eurasian Journal of Mathematical and Computer Applications. 2022. V.10. N1. P.51-68. DOI: 10.32523/2306-6172-2022-10-1-51-68 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: | Dec 19, 2021 |
Accepted: | Feb 6, 2022 |
Published print: | Jun 7, 2022 |
Published online: | Jun 7, 2022 |
Identifiers:
Web of science: | WOS:000774219600004 |
Scopus: | 2-s.2-85129918202 |
Elibrary: | 48584566 |
OpenAlex: | W4220900595 |