ON PERSISTENCE AND STABILITY OF SOME BIOLOGICAL SYSTEMS WITH CROSS DIFFUSION-Reference-Cited by-同舟云学术

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ON PERSISTENCE AND STABILITY OF SOME BIOLOGICAL SYSTEMS WITH CROSS DIFFUSION

Published:2004-03 Issue:01 Volume:07 Page:65-76
ISSN:0219-5259
Container-title:Advances in Complex Systems
language:en
Short-container-title:Advs. Complex Syst.

Author:

AHMED E.¹²,HEGAZI A. S.¹,ELGAZZAR A. S.³⁴

Affiliation:

1. Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt

2. Mathematics Department, Faculty of Science, Al-Ain, P. O. Box 17551, UAE

3. Mathematics Department, Faculty of Science — Al-Jouf, King Soad University, Kingdom of Saudi Arabia

4. 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Control and Systems Engineering

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219525904000056

Reference13 articles.

1. ON SPATIAL ASYMMETRIC GAMES

2. Permanence in ecological systems with spatial heterogeneity

3. Strong Solutions to a Kind of Cross Diffusion Parabolic System

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