IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/910349.html
   My bibliography  Save this article

Complex Dynamical Behavior of a Predator-Prey System with Group Defense

Author

Listed:
  • Jianglin Zhao
  • Min Zhao
  • Hengguo Yu

Abstract

A diffusive predator-prey system with prey refuge is studied analytically and numerically. The Turing bifurcation is analyzed in detail, which in turn provides a theoretical basis for the numerical simulation. The influence of prey refuge and group defense on the equilibrium density and patterns of species under the condition of Turing instability is explored by numerical simulations, and this shows that the prey refuge and group defense have an important effect on the equilibrium density and patterns of species. Moreover, it can be obtained that the distributions of species are more sensitive to group defense than prey refuge. These results are expected to be of significance in exploration for the spatiotemporal dynamics of ecosystems.

Suggested Citation

  • Jianglin Zhao & Min Zhao & Hengguo Yu, 2013. "Complex Dynamical Behavior of a Predator-Prey System with Group Defense," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, July.
    • Handle: RePEc:hin:jnlmpe:910349
    DOI: 10.1155/2013/910349
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2013/910349.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2013/910349.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/910349?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. Seralan Vinoth & R. Vadivel & Nien-Tsu Hu & Chin-Sheng Chen & Nallappan Gunasekaran, 2023. "Bifurcation Analysis in a Harvested Modified Leslie–Gower Model Incorporated with the Fear Factor and Prey Refuge," Mathematics, MDPI, vol. 11(14), pages 1-25, July.

    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:jnlmpe:910349. 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.