ON TELEGRAPH REACTION DIFFUSION AND COUPLED MAP LATTICE IN SOME BIOLOGICAL SYSTEMS-Reference-Cited by-同舟云学术

ON TELEGRAPH REACTION DIFFUSION AND COUPLED MAP LATTICE IN SOME BIOLOGICAL SYSTEMS

Published:2001-06 Issue:05 Volume:12 Page:717-726
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

AHMED E.¹²,ABDUSALAM H. A.³,FAHMY E. S.³

Affiliation:

1. Mathematics Department, Faculty of Sciences, Al-Ain P. O. Box 17551, U. A. E.

2. Mathematics Department, Faculty of Sciences, Mansura, 35516, Egypt

3. Mathematics Department, Faculty of Sciences, Cairo University, Giza, Egypt

Abstract

It is argued that telegraph equation is more suitable than ordinary diffusion equation in modeling reaction diffusion in biological, economic and social systems. Telegraph reaction diffusion (TRD) is studied in one and two spatial dimensions. Some exact and approximate results are obtained. A coupled map lattice (CML) corresponding to the spatial prisoner's dilemma game is constructed and studied in the weak diffusion limit. A formula is derived for Lyapunov exponents and it is shown that periodic solutions are dense in the weak coupling regime and that this system is structurally stable.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183101001936

Reference11 articles.

1. Pattern formation outside of equilibrium

2. Relation between fractal dimension and spatial correlation length for extensive chaos

3. Spatiotemporal chaos

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