On Diffusion in Some Biological and Economic Systems-Reference-Cited by-同舟云学术

On Diffusion in Some Biological and Economic Systems

Published:2000-08-01 Issue:8 Volume:55 Page:669-672
ISSN:1865-7109
Container-title:Zeitschrift für Naturforschung A
language:
Short-container-title:

Author:

Ahmed E.¹²,Hassanb S. Z.²

Affiliation:

1. 1Mathematics Department, Faculty of Science, Al-Ain, P.O.Box 17551, UAE

2. 2Mathematics Department, Faculty of Science, Mansoura 35516, Egypt

Abstract

AbstractIt 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 dilemma (PD) and hawk-dove (HD) games. Nonlinear wave solutions are derived for 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.

Publisher

Walter de Gruyter GmbH

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/zna-2000-0801/pdf

Cited by 14 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Investigation of the Time-Dependent Transitions Between the Time-Fractional and Standard Diffusion in a Hierarchical Porous Material;Transport in Porous Media;2020-06-23

2. Diffusion of C6 cyclic hydrocarbons in ZSM-5 zeolite: From single nanocrystal to packed pellet;Microporous and Mesoporous Materials;2020-01

3. Critical Domain Problem for the Reaction–Telegraph Equation Model of Population Dynamics;Mathematics;2018-04-17

4. Fredholm Solvability of a Periodic Neumann Problem for a Linear Telegraph Equation;Ukrainian Mathematical Journal;2013-08

5. Memory effects in Fisher equation with nonlinear convection term;Physics Letters A;2012-05