IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/145398.html
   My bibliography  Save this article

Analysis of a Mathematical Model of Emerging Infectious Disease Leading to Amphibian Decline

Author

Listed:
  • Muhammad Dur-e-Ahmad
  • Mudassar Imran
  • Adnan Khan

Abstract

We formulate a three-dimensional deterministic model of amphibian larvae population to investigate the cause of extinction due to the infectious disease. The larvae population of the model is subdivided into two classes, exposed and unexposed, depending on their vulnerability to disease. Reproduction ratio has been calculated and we have shown that if , the whole population will be extinct. For the case of , we discussed different scenarios under which an infected population can survive or be eliminated using stability and persistence analysis. Finally, we also used Hopf bifurcation analysis to study the stability of periodic solutions.

Suggested Citation

  • Muhammad Dur-e-Ahmad & Mudassar Imran & Adnan Khan, 2014. "Analysis of a Mathematical Model of Emerging Infectious Disease Leading to Amphibian Decline," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-13, April.
    • Handle: RePEc:hin:jnlaaa:145398
    DOI: 10.1155/2014/145398
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/145398.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/145398.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/145398?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:jnlaaa:145398. 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.