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Pattern formation in excitable reaction-diffusion systems: the eikonal analysis on the torus

Mulholland, A.J. and Gomatam, J. (1995) Pattern formation in excitable reaction-diffusion systems: the eikonal analysis on the torus. Journal of Biological Systems, 3 (4). pp. 1013-1019. ISSN 0218-3390

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Abstract

The excitable reaction-diffusion (R-D) systems of biological and chemical origin harbour a wealth of patterns and structures, not all of which have been modelled by the full R-D equations. The analytical and numerical facility offered by the eikonal approach to the R-D equation is exploited here in the demonstration of existence and stability of a class of solutions on a torus.

Item type: Article
ID code: 18665
Keywords: Reaction–Diffusion, excitable, three-dimensional, stability, multiply-connected, Mathematics, Ecology, Applied Mathematics, Agricultural and Biological Sciences (miscellaneous)
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
    Depositing user: Mrs Carolynne Westwood
    Date Deposited: 15 Oct 2010 13:35
    Last modified: 05 Sep 2014 00:47
    URI: http://strathprints.strath.ac.uk/id/eprint/18665

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