IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/673424.html
   My bibliography  Save this article

Dynamics of a Predator-Prey System with a Mate-Finding Allee Effect

Author

Listed:
  • Ruiwen Wu
  • Xiuxiang Liu

Abstract

We consider a ratio-dependent predator-prey system with a mate-finding Allee effect on prey. The stability properties of the equilibria and a complete bifurcation analysis, including the existence of a saddle-node, a Hopf bifurcation, and, a Bogdanov-Takens bifurcations, have been proved theoretically and numerically. The blow-up method has been applied to investigate the structure of a neighborhood of the origin. Our mathematical results show the mate-finding Allee effect can reduce the complexity of system behaviors by making the complicated equilibrium less complicated, and it can be a destabilizing force as well, which makes the system has a high possibility of being threatened with extinction in ecology.

Suggested Citation

  • Ruiwen Wu & Xiuxiang Liu, 2014. "Dynamics of a Predator-Prey System with a Mate-Finding Allee Effect," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-14, October.
    • Handle: RePEc:hin:jnlaaa:673424
    DOI: 10.1155/2014/673424
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2014/673424.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2014/673424.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/673424?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:673424. 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.