Full text

Turn on search term navigation

Copyright © 2022 N. Avinash et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0/

Abstract

The major goal of this study is to create an optimal technique for managing COVID-19 spread by transforming the SEIQR model into a dynamic (multistage) programming problem with continuous and discrete time-varying transmission rates as optimizing variables. We have developed an optimal control problem for a discrete-time, deterministic susceptible class (S), exposed class (E), infected class (I), quarantined class (Q), and recovered class (R) epidemic with a finite time horizon. The problem involves finding the minimum objective function of a controlled process subject to the constraints of limited resources. For our model, we present a new technique based on dynamic programming problem solutions that can be used to minimize infection rate and maximize recovery rate. We developed suitable conditions for obtaining monotonic solutions and proposed a dynamic programming model to obtain optimal transmission rate sequences. We explored the positivity and unique solvability nature of these implicit and explicit time-discrete models. According to our findings, isolating the affected humans can limit the danger of COVID-19 spreading in the future.

Details

Title
Dynamics of COVID-19 Using SEIQR Epidemic Model
Author
Avinash, N 1   VIAFID ORCID Logo  ; G Britto Antony Xavier 1   VIAFID ORCID Logo  ; Alsinai, Ammar 2   VIAFID ORCID Logo  ; Ahmed, Hanan 3   VIAFID ORCID Logo  ; Sherine, V Rexma 1   VIAFID ORCID Logo  ; Chellamani, P 1   VIAFID ORCID Logo 

 Department of Mathematics, Sacred Heart College, Tirupattur 635601, Tamilnadu, India 
 Department of Studies in Mathematics, University of Mysore, Manasagangotri, Mysore 570005, Karnataka, India 
 Department of Mathematics, Ibb University, Ibb, Yemen 
Editor
Ali Sajid
Publication year
2022
Publication date
2022
Publisher
John Wiley & Sons, Inc.
ISSN
23144629
e-ISSN
23144785
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2722972619
Copyright
Copyright © 2022 N. Avinash et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0/