Reaction diffusion processes on random and scale-free networks

Banerjee, Subhasis ; Mallik, Shrestha Basu ; Bose, Indrani (2004) Reaction diffusion processes on random and scale-free networks International Journal of Modern Physics C, 15 . 1075_1-1075_15. ISSN 0129-1831

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Abstract

We study the discrete Gierer-Meinhardt model of reaction-diffusion on three different types of networks: regular, random and scale-free. The model dynamics lead to the formation of stationary Turing patterns in the steady state in certain parameter regions. Some general features of the patterns are studied through numerical simulation. The results for the random and scale-free networks show a marked difference from those in the case of the regular network. The difference may be ascribed to the small world character of the first two types of networks.

Item Type:Article
Source:Copyright of this article belongs to World Scientific Publishing Company.
ID Code:93735
Deposited On:25 Jun 2012 13:10
Last Modified:19 May 2016 06:45

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