IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/142534.html
   My bibliography  Save this article

Dynamics of a Birth-Pulse Single-Species Model with Restricted Toxin Input and Pulse Harvesting

Author

Listed:
  • Yi Ma
  • Bing Liu
  • Wei Feng

Abstract

We consider a birth-pulses single-species model with restricted toxin input and pulse harvesting in a polluted environment. Pollution accumulates as a slowly decaying stock and is assumed to affect the growth of the renewable resource population. Firstly, by using the discrete dynamical system determined by the stroboscopic map, we obtain an exact 1-period solution of system whose birth function is Ricker function or Beverton-Holt function and obtain the threshold conditions for their stability. Furthermore, we show that the timing of harvesting has a strong impact on the maximum annual sustainable yield. The best timing of harvesting is immediately after the birth pulses. Finally, we investigate the effect of the amount of toxin input on the stable resource population size. We find that when the birth rate is comparatively lower, the population size is decreasing with the increase of toxin input; that when the birth rate is high, the population size may begin to rise and then drop with the increase of toxin input.

Suggested Citation

  • Yi Ma & Bing Liu & Wei Feng, 2010. "Dynamics of a Birth-Pulse Single-Species Model with Restricted Toxin Input and Pulse Harvesting," Discrete Dynamics in Nature and Society, Hindawi, vol. 2010, pages 1-20, August.
    • Handle: RePEc:hin:jnddns:142534
    DOI: 10.1155/2010/142534
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2010/142534.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/DDNS/2010/142534.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2010/142534?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. Yun Liu & Lifeng Guo & Xijuan Liu, 2023. "Dynamical Behaviors in a Stage-Structured Model with a Birth Pulse," Mathematics, MDPI, vol. 11(15), pages 1-13, 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:jnddns:142534. 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.