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      A multi-stage SEIR(D) model of the COVID-19 epidemic in Korea

      research-article
      Annals of Medicine
      Taylor & Francis
      COVID-19, epidemic model, the SEIR(D) model, non-pharmaceutical interventions (NPIs), (South) Korea

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          Abstract

          Background

          This paper uses a SEIR(D) model to analyse the time-varying transmission dynamics of the COVID-19 epidemic in Korea throughout its multiple stages of development. This multi-stage estimation of the model parameters offers a better model fit compared to the whole period analysis and shows how the COVID-19’s infection patterns change over time, primarily depending on the effectiveness of the public health authority’s non-pharmaceutical interventions (NPIs).

          Methods

          This paper uses the SEIR(D) compartment model to simulate and estimate the parameters for three distinctive stages of the COVID-19 epidemic in Korea, using a manually compiled COVID-19 epidemic dataset for the period between 18 February 2020 and 08 February 2021. The paper identifies three major stages of the COVID-19 epidemic, conducts multi-stage estimations of the SEIR(D) model parameters, and carefully infers context-dependent meaning of the estimation results to help better understand the unique patterns of the transmission of the novel coronavirus (SARS-CoV-2) in each stage.

          Results

          The original SIR compartment model may produce a poor and even misleading estimation result if it is used to cover the entire period of the epidemic. However, if we use the model carefully in distinctive stages of the COVID-19 epidemic, we can find useful insights into the nature of the transmission of the novel coronavirus and the relative effectiveness of the government’s non-pharmaceutical interventions over time.

          Key messages
          • Identifies three distinctive waves of the COVID-19 epidemic in Korea.

          • Conducts multi-stage estimations of the COVID-19 transmission dynamics using SEIR(D) epidemic models.

          • The transmission dynamics of the COVID-19 vary over time, primarily depending on the relative effectiveness of the government’s non-pharmaceutical interventions (NPIs).

          • The SEIR(D) epidemic model is useful and informative, but only when it is used carefully to account for the presence of multiple waves and context-dependent infection patterns in each wave.

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          Most cited references9

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          A Contribution to the Mathematical Theory of Epidemics

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            Modelling the COVID-19 epidemic and implementation of population-wide interventions in Italy

            In Italy, 128,948 confirmed cases and 15,887 deaths of people who tested positive for SARS-CoV-2 were registered as of 5 April 2020. Ending the global SARS-CoV-2 pandemic requires implementation of multiple population-wide strategies, including social distancing, testing and contact tracing. We propose a new model that predicts the course of the epidemic to help plan an effective control strategy. The model considers eight stages of infection: susceptible (S), infected (I), diagnosed (D), ailing (A), recognized (R), threatened (T), healed (H) and extinct (E), collectively termed SIDARTHE. Our SIDARTHE model discriminates between infected individuals depending on whether they have been diagnosed and on the severity of their symptoms. The distinction between diagnosed and non-diagnosed individuals is important because the former are typically isolated and hence less likely to spread the infection. This delineation also helps to explain misperceptions of the case fatality rate and of the epidemic spread. We compare simulation results with real data on the COVID-19 epidemic in Italy, and we model possible scenarios of implementation of countermeasures. Our results demonstrate that restrictive social-distancing measures will need to be combined with widespread testing and contact tracing to end the ongoing COVID-19 pandemic.
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              A SIR model assumption for the spread of COVID-19 in different communities

              In this paper, we study the effectiveness of the modelling approach on the pandemic due to the spreading of the novel COVID-19 disease and develop a susceptible-infected-removed (SIR) model that provides a theoretical framework to investigate its spread within a community. Here, the model is based upon the well-known susceptible-infected-removed (SIR) model with the difference that a total population is not defined or kept constant per se and the number of susceptible individuals does not decline monotonically. To the contrary, as we show herein, it can be increased in surge periods! In particular, we investigate the time evolution of different populations and monitor diverse significant parameters for the spread of the disease in various communities, represented by countries and the state of Texas in the USA. The SIR model can provide us with insights and predictions of the spread of the virus in communities that the recorded data alone cannot. Our work shows the importance of modelling the spread of COVID-19 by the SIR model that we propose here, as it can help to assess the impact of the disease by offering valuable predictions. Our analysis takes into account data from January to June, 2020, the period that contains the data before and during the implementation of strict and control measures. We propose predictions on various parameters related to the spread of COVID-19 and on the number of susceptible, infected and removed populations until September 2020. By comparing the recorded data with the data from our modelling approaches, we deduce that the spread of COVID-19 can be under control in all communities considered, if proper restrictions and strong policies are implemented to control the infection rates early from the spread of the disease.
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                Author and article information

                Journal
                Ann Med
                Ann Med
                Annals of Medicine
                Taylor & Francis
                0785-3890
                1365-2060
                16 July 2021
                2021
                : 53
                : 1
                : 1159-1169
                Affiliations
                Department of Economics, Raj Soin College of Business, Wright State University , Dayton, OH, USA
                Author notes
                CONTACT Hee-Young Shin heeyoung.shin@ 123456wright.edu Wright State University , Rike Hall 236, 3640 Colonel Glenn Hwy, Dayton 45435-0001, OH, USA
                Article
                1949490
                10.1080/07853890.2021.1949490
                8288138
                34269629
                29c60d0a-ac65-46b0-bafa-8a39cce3fe73
                © 2021 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.

                This is an Open Access article distributed under the terms of the Creative Commons Attribution License ( http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

                History
                Page count
                Figures: 7, Tables: 4, Pages: 11, Words: 5517
                Categories
                Research Article
                Original Article

                Medicine
                covid-19,epidemic model,the seir(d) model,non-pharmaceutical interventions (npis),(south) korea

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