IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/919242.html
   My bibliography  Save this article

Generalized Predator-Prey Model with Nonlinear Impulsive Control Strategy

Author

Listed:
  • Wenjie Qin
  • Guangyao Tang
  • Sanyi Tang

Abstract

A generalized predator-prey model concerning integrated pest management and nonlinear impulsive control measures is proposed and analyzed. The main purpose is to understand how resource limitation affects the successful pest control and pest outbreaks. The threshold conditions for the stability of the pest-free periodic solution are given firstly. Once the threshold value exceeds a critical level, both pest and its natural enemy populations can oscillate periodically. Secondly, in order to address how the limited resources affect the pest control, as an example the Holling II functional response function is chosen. The numerical results show that predator-prey model with limited resource has complex dynamical behavior. In addition, it is confirmed that the model has the coexistence of pests and natural enemies for a wide range of parameters.

Suggested Citation

  • Wenjie Qin & Guangyao Tang & Sanyi Tang, 2014. "Generalized Predator-Prey Model with Nonlinear Impulsive Control Strategy," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-11, February.
  • Handle: RePEc:hin:jnljam:919242
    DOI: 10.1155/2014/919242
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2014/919242.pdf
    Download Restriction: no

    File URL: http://downloads.hindawi.com/journals/JAM/2014/919242.xml
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2014/919242?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:jnljam:919242. 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.