IDEAS home Printed from https://ideas.repec.org/a/hin/complx/9182830.html
   My bibliography  Save this article

Dynamics of SCIR Modeling for COVID-19 with Immigration

Author

Listed:
  • Haiyin Li
  • Yan Wu
  • Toshikazu Kuniya

Abstract

In this study, for COVID-19, we divide people into four categories: susceptible St, closely contacted Ct, infective It, and removed Rt according to the current epidemic situation and then investigate two models: the SCIR models with immigration (Model (2) and without immigration (Model 1). For the former, Model 1, we obtain the condition for global stability of its disease-free equilibrium. For the latter, Model 2, we establish the local asymptotic stability of its endemic equilibrium by constructing Lyapunov function. Afterwards, by the bifurcation theory, we qualitatively analyze the properties of its Hopf bifurcations of the latter. Finally, numerical simulations are given to illustrate the obtained results of two models. The results imply the importance of finding closely contacted and overseas imports on epidemic control. It indicates that not only the incubation delay Ï„ is crucial for the containment of the COVID-19 but also the scientific and rigorous containment measures are the key factors of the success of the containment.

Suggested Citation

  • Haiyin Li & Yan Wu & Toshikazu Kuniya, 2022. "Dynamics of SCIR Modeling for COVID-19 with Immigration," Complexity, Hindawi, vol. 2022, pages 1-22, May.
    • Handle: RePEc:hin:complx:9182830
    DOI: 10.1155/2022/9182830
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/complexity/2022/9182830.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/complexity/2022/9182830.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/9182830?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:9182830. 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.