IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/3693428.html
   My bibliography  Save this article

Dynamical Behaviors of a Stochastic SIQR Epidemic Model with Quarantine-Adjusted Incidence

Author

Listed:
  • Zhongwei Cao
  • Shengjuan Zhou

Abstract

We study the dynamics of a stochastic SIQR epidemic disease with quarantine-adjusted incidence in this article. In order to find the sufficient conditions for the ergodicity and extermination of the model, we construct suitable stochastic Lyapunov functions and find the results of the stochastic SIQR epidemic model. From the results, we find that when the white noise is relatively large, the infectious diseases will become extinct; this also shows that the intervention of white noise will play an important part in controlling the spread of the disease.

Suggested Citation

  • Zhongwei Cao & Shengjuan Zhou, 2018. "Dynamical Behaviors of a Stochastic SIQR Epidemic Model with Quarantine-Adjusted Incidence," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-13, March.
    • Handle: RePEc:hin:jnddns:3693428
    DOI: 10.1155/2018/3693428
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2018/3693428.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/DDNS/2018/3693428.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/3693428?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
    ---><---

    Citations

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


    Cited by:

    1. Zhang, Ge & Li, Zhiming & Din, Anwarud, 2022. "A stochastic SIQR epidemic model with Lévy jumps and three-time delays," Applied Mathematics and Computation, Elsevier, vol. 431(C).
    2. M, Pitchaimani & M, Brasanna Devi, 2021. "Stochastic dynamical probes in a triple delayed SICR model with general incidence rate and immunization strategies," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

    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:jnddns:3693428. 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.