IDEAS home Printed from https://ideas.repec.org/a/wsi/acsxxx/v07y2004i01ns0219525904000056.html
   My bibliography  Save this article

On Persistence And Stability Of Some Biological Systems With Cross Diffusion

Author

Listed:
  • E. AHMED

    (Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt;
    Mathematics Department, Faculty of Science, Al-Ain, P. O. Box 17551, UAE)

  • A. S. HEGAZI

    (Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt)

  • A. S. ELGAZZAR

    (Mathematics Department, Faculty of Science — Al-Jouf, King Soad University, Kingdom of Saudi Arabia;
    Mathematics Department, Faculty of Education, 45111 El-Arish, Egypt)

Abstract

The concept of cross diffusion is applied to some biological systems. The conditions for persistence and Turing instability in the presence of cross diffusion are derived. Many examples including: predator-prey, epidemics (with and without delay), hawk–dove–retaliate and prisoner's dilemma games are given.

Suggested Citation

  • E. Ahmed & A. S. Hegazi & A. S. Elgazzar, 2004. "On Persistence And Stability Of Some Biological Systems With Cross Diffusion," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 65-76.
  • Handle: RePEc:wsi:acsxxx:v:07:y:2004:i:01:n:s0219525904000056
    DOI: 10.1142/S0219525904000056
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0219525904000056
    Download Restriction: Access to full text is restricted to subscribers

    File URL: https://libkey.io/10.1142/S0219525904000056?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. Hegagi Mohamed Ali & Ismail Gad Ameen, 2019. "An Efficient Approach for Solving Fractional Dynamics of a Predator-Prey System," Modern Applied Science, Canadian Center of Science and Education, vol. 13(11), pages 116-116, November.

    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:wsi:acsxxx:v:07:y:2004:i:01:n:s0219525904000056. 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: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/acs/acs.shtml .

    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.