IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v91y2016icp434-442.html
   My bibliography  Save this article

Effects of consecutive water level fluctuations and harvesting on predator-prey interactions

Author

Listed:
  • Menouer, M.A.
  • Moussaoui, A.

Abstract

In lakes, water level can alter the physical environment and may influence predatory fish performance. In this paper, we ask how do variations in water level affect population cycles? We use a predator-prey model that includes fishing terms as a case study. With the help of a continuation theorem based on Gaines and Mawhin’s coincidence degree, we establish sufficient conditions for the existence of at least four positive periodic solutions. Our theoretical results confirm the assumption that the water level exerts a strong influence on the interaction between fishes. An example is given to illustrate the effectiveness of our results.

Suggested Citation

  • Menouer, M.A. & Moussaoui, A., 2016. "Effects of consecutive water level fluctuations and harvesting on predator-prey interactions," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 434-442.
    • Handle: RePEc:eee:chsofr:v:91:y:2016:i:c:p:434-442
    DOI: 10.1016/j.chaos.2016.07.001
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077916302235
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2016.07.001?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.

    References listed on IDEAS

    as
    1. Moussaoui, Ali, 2015. "A reaction-diffusion equations modelling the effect of fluctuating water levels on prey-predator interactions," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 1110-1121.
    2. Chiboub Fellah, N. & Bouguima, S.M. & Moussaoui, A., 2012. "The effect of water level in a prey-predator interactions: A nonlinear analysis study," Chaos, Solitons & Fractals, Elsevier, vol. 45(3), pages 205-212.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Moussaoui, Ali, 2015. "A reaction-diffusion equations modelling the effect of fluctuating water levels on prey-predator interactions," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 1110-1121.

    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:chsofr:v:91:y:2016:i:c:p:434-442. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.