On diffusion in some biological and economic systems

Authors
Ahmed, E Hassan, SZ
Citation
E. Ahmed et Sz. Hassan, On diffusion in some biological and economic systems, Z NATURFO A, 55(8), 2000, pp. 669-672
Citations number
13
Categorie Soggetti
Physical Chemistry/Chemical Physics
Journal title
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
ISSN journal
09320784 → ACNP
Volume
55
Issue
8
Year of publication
2000
Pages
669 - 672
Database
ISI
SICI code
0932-0784(200008)55:8<669:ODISBA>2.0.ZU;2-Y
Abstract
It is argued that diffusion in biological and economical systems is better modelled by Cattaneo's equation where memory effects are included. Reaction diffusion equations using Cattaneo's system are derived for prisoner's dil emma (PD) and hawk-dove (HD) games. Nonlinear wave solutions are derived fo r them. As expected the asymptotic solution for the PD case is insufficient . Hence a cellular automata motivated by Cattaneo's system is used to show the existence of cooperation in the case of local game.