IDEAS home Printed from https://ideas.repec.org/a/hin/complx/3642444.html
   My bibliography  Save this article

A SEIR Epidemic Model of Whooping Cough-Like Infections and Its Dynamically Consistent Approximation

Author

Listed:
  • M.M. Alqarni
  • Arooj Nasir
  • Maryam Ahmed Alyami
  • Ali Raza
  • Jan Awrejcewicz
  • Muhammad Rafiq
  • Nauman Ahmed
  • Tahira Sumbal Shaikh
  • Emad E. Mahmoud
  • Siew Ann Cheong

Abstract

Whooping cough is a highly transmitted disease around the world. According to the World Health Organization (WHO), 0.15 million cases had reported globally in 2018. Most of the Asian and African states are infected regions. Through the study, we investigated the whole population into the four classes susceptible (S), exposed (E), infected (I), and vaccinated or recovered (R). The transmission dynamics of whooping cough disease are studied analytically and numerically. Analytical analyses are positivity, boundedness, reproduction number, equilibria, and local and global stabilities. In numerical analysis, we developed an implicit numerical integration scheme consistent with the biological problem’s properties. The analysis of the implicit method for the said model is dynamically consistent, positive, and bounded. Furthermore, an implicit numerical integration scheme is suitable for studying a particular epidemic model such as the whooping cough disease.

Suggested Citation

  • M.M. Alqarni & Arooj Nasir & Maryam Ahmed Alyami & Ali Raza & Jan Awrejcewicz & Muhammad Rafiq & Nauman Ahmed & Tahira Sumbal Shaikh & Emad E. Mahmoud & Siew Ann Cheong, 2022. "A SEIR Epidemic Model of Whooping Cough-Like Infections and Its Dynamically Consistent Approximation," Complexity, Hindawi, vol. 2022, pages 1-13, September.
    • Handle: RePEc:hin:complx:3642444
    DOI: 10.1155/2022/3642444
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/complexity/2022/3642444.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/complexity/2022/3642444.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/3642444?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:complx:3642444. 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.