IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/2138165.html
   My bibliography  Save this article

Dynamics of COVID-19 Using SEIQR Epidemic Model

Author

Listed:
  • N. Avinash
  • G. Britto Antony Xavier
  • Ammar Alsinai
  • Hanan Ahmed
  • V. Rexma Sherine
  • P. Chellamani
  • Ali Sajid

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.

Suggested Citation

  • N. Avinash & G. Britto Antony Xavier & Ammar Alsinai & Hanan Ahmed & V. Rexma Sherine & P. Chellamani & Ali Sajid, 2022. "Dynamics of COVID-19 Using SEIQR Epidemic Model," Journal of Mathematics, Hindawi, vol. 2022, pages 1-21, September.
  • Handle: RePEc:hin:jjmath:2138165
    DOI: 10.1155/2022/2138165
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2022/2138165.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/jmath/2022/2138165.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2022/2138165?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jjmath:2138165. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.