IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/678762.html
   My bibliography  Save this article

Dynamics of a Stage Structured Pest Control Model in a Polluted Environment with Pulse Pollution Input

Author

Listed:
  • Bing Liu
  • Ling Xu
  • Baolin Kang

Abstract

By using pollution model and impulsive delay differential equation, we formulate a pest control model with stage structure for natural enemy in a polluted environment by introducing a constant periodic pollutant input and killing pest at different fixed moments and investigate the dynamics of such a system. We assume only that the natural enemies are affected by pollution, and we choose the method to kill the pest without harming natural enemies. Sufficient conditions for global attractivity of the natural enemy-extinction periodic solution and permanence of the system are obtained. Numerical simulations are presented to confirm our theoretical results.

Suggested Citation

  • Bing Liu & Ling Xu & Baolin Kang, 2013. "Dynamics of a Stage Structured Pest Control Model in a Polluted Environment with Pulse Pollution Input," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-8, October.
    • Handle: RePEc:hin:jnljam:678762
    DOI: 10.1155/2013/678762
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JAM/2013/678762.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JAM/2013/678762.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/678762?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:678762. 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.