REACTION–DIFFUSION PROCESSES ON RANDOM AND SCALE-FREE NETWORKS

Subhasis Banerjee, Shrestha Basu Mallick and Indrani Bose ()
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Subhasis Banerjee: Department of Physics, Bose Institute, 93/1, A. P. C. Road, Kolkata-700009, India
Shrestha Basu Mallick: Department of Physics, Bose Institute, 93/1, A. P. C. Road, Kolkata-700009, India;
Indrani Bose: Department of Physics, Bose Institute, 93/1, A. P. C. Road, Kolkata-700009, India

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 08, 1075-1086

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.

Keywords: Reaction–diffusion; Turing patterns; random and scale-free networks; activator; inhibitor (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104006534

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