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    STUDIA MATHEMATICA - Issue no. 3 / 2023  
         
  Article:   A COMPARTMENTAL MODEL FOR COVID-19 TO ASSESS EFFECTS OF NON-PHARMACEUTICAL INTERVENTIONS WITH EMPHASIS ON CONTACT-BASED QUARANTINE.

Authors:  SAUMEN BARUA, BORNALI DAS, ATTILA DÉNES.
 
       
         
  Abstract:   DOI: 10.24193/subbmath.2023.3.15

Received 25 March 2023; Accepted 26 June 2023. Published Online: 2023-09-30
Published Print: 2023-09-30
pp. 679-697

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Relative to the number of casualties, COVID-19 ranks among the ten most devastating plagues in history. The pandemic hit the South Asian nation of Bangladesh in early March 2020 and has greatly impacted the socio-economic status of the country. In this article, we propose a compartmental model for COVID-19 dynamics, introducing a separate class for quarantined susceptibles, synonymous to isolation of individuals who have been exposed and are suspected of being infected. The current model assumes a perfect quarantine based on contact with infectious individuals. Numerical simulation is conducted to investigate the efficiency of disease control by segregating suspected individuals and other non-pharmaceutical interventions. In addition, we assort quantitatively the importance of parameters that influence the dynamics of the system. Fitting the system to the early phase of COVID-19 outbreaks in Bangladesh, by taking into account the cumulative number of cases with the data of the first 17-week period, the basic reproduction number is estimated as 1.69.

Mathematics Subject Classification (2010): 92D30, 34A99.
Keywords: COVID-19, compartmental model, quarantine, data fitting.
 
         
     
         
         
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