IDEAS home Printed from https://ideas.repec.org/a/wsi/fracta/v30y2022i08ns0218348x22402113.html
   My bibliography  Save this article

Numerical Modeling Of A Novel Stochastic Coronavirus

Author

Listed:
  • YU-MING CHU

    (Department of Mathematics, College of Science, Huzhou University, Huzhou 313000, P. R. China)

  • ZAIN UL ABADIN ZAFAR

    (Department of Mathematics, Faculty of Science and Technology, University of Central Punjab, Lahore, Pakistan)

  • MUSTAFA INC

    (Department of Mathematics, Science Faculty, Firat University, 23119 Elazig, Turkiye4Department of Medical Research, China Medical University, Taichung 40402, Taiwan)

  • SHUMAILA JAVEED

    (��Department of Mathematics, COMSATS University Islamabad, Islamabad Campus, Pakistan‡Near East University, Mathematics Research Center, Department of Mathematics, Near East Boulevard, 99138, Nicosia/Mersin 10 – Turkey)

  • ABU SAFYAN ALI

    (��Department of Mathematics, COMSATS University Islamabad, Islamabad Campus, Pakistan)

Abstract

The aim is to study the dynamics of Coronavirus model using stochastic methods. Threshold parameter R0 is obtained for the model. Afterwards, both the disease-free equilibrium (DFE) and endemic equilibrium (EE) points are acquired and the stability of the model is discussed. Both the equilibrium points are locally asymptotically stable. Euler–Maruyama, stochastic Euler scheme (SES), stochastic fourth-order Runge–Kutta scheme (SRKS) and stochastic non-standard finite difference technique (SNFDT) are applied to solve the model equations. Euler–Maruyama, SES, SRKS fail for large time step size, while, SNFDT preserves the dynamics of the proposed model for any step size. Numerical comparison of applied methods is provided using different step sizes.

Suggested Citation

  • Yu-Ming Chu & Zain Ul Abadin Zafar & Mustafa Inc & Shumaila Javeed & Abu Safyan Ali, 2022. "Numerical Modeling Of A Novel Stochastic Coronavirus," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(08), pages 1-27, December.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22402113
    DOI: 10.1142/S0218348X22402113
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0218348X22402113
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0218348X22402113?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Paramita, Widya & Purnomo, Boyke R. & Virgosita, Risa & Wibowo, Amin, 2022. "Small is beautiful: Insights from the broaden-and-build theory of positive emotions on layoff decision in micro and small enterprises," Journal of Business Venturing Insights, Elsevier, vol. 18(C).

    More about this item

    Keywords

    Coronavirus Epidemic Model; Threshold Parameter R0; Positivity; EMT; SET; SRK Scheme; SNFD Technique; Stability Analysis;
    All these keywords.

    JEL classification:

    • R0 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General

    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:wsi:fracta:v:30:y:2022:i:08:n:s0218348x22402113. 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: Tai Tone Lim (email available below). General contact details of provider: https://www.worldscientific.com/worldscinet/fractals .

    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.