Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/118319
Title: Direct estimation of SIR model parameters through second-order finite differences
Authors: Medvedeva, M.
Simos, T. E.
Tsitouras, C.
Katsikis, V.
Issue Date: 2021
Publisher: John Wiley and Sons Ltd
Citation: Direct estimation of SIR model parameters through second-order finite differences / M. Medvedeva, T. E. Simos, C. Tsitouras et al. // Mathematical Methods in the Applied Sciences. — 2021. — Vol. 44. — Iss. 5. — P. 3819-3826.
Abstract: SIR model is widely used for modeling the infectious diseases. This is a system of ordinary differential equations (ODEs). The numbers of susceptible, infectious, or immunized individuals are the compartments in these equations and change in time. Two parameters are the factor of differentiating these models. Here, we are not interested in solving the ODEs describing a certain SIR model. Given the observed data, we try to estimate the parameters that determine the model. For this, we propose a least squares approach using second-order centered differences for replacing the derivatives appeared in the ODEs. Then we arrive at a simple linear system that can be solved explicitly and furnish the approximations of the parameters. Numerical results over various artificial data verify the simplicity and accuracy of the new method. © 2020 John Wiley & Sons, Ltd.
Keywords: COVID-19
FINITE DIFFERENCES
LEAST SQUARES
SIR EPIDEMIC MODEL
LINEAR SYSTEMS
NUMERICAL METHODS
ARTIFICIAL DATA
INFECTIOUS DISEASE
LEAST-SQUARES APPROACH
NUMERICAL RESULTS
OBSERVED DATA
SECOND ORDERS
SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS
TWO PARAMETER
ORDINARY DIFFERENTIAL EQUATIONS
URI: http://hdl.handle.net/10995/118319
Access: info:eu-repo/semantics/openAccess
SCOPUS ID: 85096699171
ISSN: 1704214
DOI: 10.1002/mma.6985
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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