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

E. Ahmed, H. A. Abdusalam and E. S. Fahmy
Additional contact information
E. Ahmed: Mathematics Department, Faculty of Sciences, Al-Ain P. O. Box 17551, U. A. E.;
H. A. Abdusalam: Mathematics Department, Faculty of Sciences, Cairo University, Giza, Egypt
E. S. Fahmy: Mathematics Department, Faculty of Sciences, Cairo University, Giza, Egypt

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 05, 717-726

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.

Keywords: Telegraph Reaction Diffusion Equation; Coupled Map Lattice; Prisoner's Dilemma Game; Sapatiotemporal Chaos; Lyapunov Exponent (search for similar items in EconPapers)
Date: 2001
References: Add references at CitEc
Citations: View citations in EconPapers (4)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183101001936
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:12:y:2001:i:05:n:s0129183101001936

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183101001936

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().