IDEAS home Printed from https://ideas.repec.org/p/wop/iasawp/ir97042.html
   My bibliography  Save this paper

Food Chains in the Chemostat: Relationships Between Mean Yield and Complex Dynamics

Author

Listed:
  • A. Gragnani
  • O. de Feo
  • S. Rinaldi

Abstract

A tritrophic food chain chemostat model composed of a prey with Monod type nutrient uptake, a Holling type II predator and a Holling type II exploited superpredator is considered in this paper. The bifurcations of the model show that dynamic complexity first increases and then decreases with the nutrient supplied to the bottom of the food chain. Extensive simulations prove that the same holds for food yield, i.e., there exists an optimum nutrient supply which maximizes mean food yield. Finally, a comparative analysis of the results points out that the optimum nutrient supply practically coincides with the nutrient supply separating chaotic dynamics from high-frequency cyclic dynamics. This reinforces the idea, already known for simpler models, that food yield maximization requires that the system behaves on the edge of chaos.

Suggested Citation

  • A. Gragnani & O. de Feo & S. Rinaldi, 1997. "Food Chains in the Chemostat: Relationships Between Mean Yield and Complex Dynamics," Working Papers ir97042, International Institute for Applied Systems Analysis.
    • Handle: RePEc:wop:iasawp:ir97042
    as

    Download full text from publisher

    File URL: http://www.iiasa.ac.at/Publications/Documents/IR-97-042.pdf
    Download Restriction: no
    File URL: http://www.iiasa.ac.at/Publications/Documents/IR-97-042.ps
    Download Restriction: no
    ---><---

    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:wop:iasawp:ir97042. 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: Thomas Krichel (email available below). General contact details of provider: https://edirc.repec.org/data/iiasaat.html .

    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.