IDEAS home Printed from https://ideas.repec.org/a/eee/ecomod/v206y2007i3p421-430.html
   My bibliography  Save this article

Dynamics in a Beddington–DeAngelis prey–predator system with impulsive harvesting

Author

Listed:
  • Negi, Kuldeep
  • Gakkhar, Sunita

Abstract

The impulsive harvesting strategy in prey–predator system with Beddington–DeAngelis functional response is studied. Conditions for existence and global stability of predator-free equilibrium solution have been established. The existence of nontrivial periodic solution is established when the predator-free periodic solution loses its stability. Numerical simulations of the impulsive system exhibit the rich complex dynamics in the positive octant for the key parameters.

Suggested Citation

  • Negi, Kuldeep & Gakkhar, Sunita, 2007. "Dynamics in a Beddington–DeAngelis prey–predator system with impulsive harvesting," Ecological Modelling, Elsevier, vol. 206(3), pages 421-430.
    • Handle: RePEc:eee:ecomod:v:206:y:2007:i:3:p:421-430
    DOI: 10.1016/j.ecolmodel.2007.04.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304380007002219
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ecolmodel.2007.04.007?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Wu, Xingjie & Huang, Wentao, 2009. "Dynamic analysis of a one-prey multi-predator impulsive system with Ivlev-type functional," Ecological Modelling, Elsevier, vol. 220(6), pages 774-783.
    2. Shang, Zuchong & Qiao, Yuanhua & Duan, Lijuan & Miao, Jun, 2021. "Bifurcation analysis and global dynamics in a predator–prey system of Leslie type with an increasing functional response," Ecological Modelling, Elsevier, vol. 455(C).
    3. Li, Xiaodi & Yang, Xueyan & Huang, Tingwen, 2019. "Persistence of delayed cooperative models: Impulsive control method," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 130-146.

    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:eee:ecomod:v:206:y:2007:i:3:p:421-430. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/ecological-modelling .

    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.