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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
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    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.

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