Reaction diffusion processes on random and scale-free networks

Details Reaction diffusion processes on random and scale-free networks Reaction diffusion processes on random and scale-free networks

2004-04-27

arxiv.org/abs/cond-mat/0404640v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 7 figures

Scientific paper

10.1142/S0129183104006534

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.

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