ON PERSISTENCE AND STABILITY OF SOME BIOLOGICAL SYSTEMS WITH CROSS DIFFUSION

E. Ahmed, A. S. Hegazi and A. S. Elgazzar
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E. Ahmed: Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt;
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;

Advances in Complex Systems (ACS), 2004, vol. 07, issue 01, 65-76

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.

Keywords: Cross diffusion; persistence; Turing instability (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0219525904000056

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