Parametric Pattern Selection in a Reaction-Diffusion Model

Michael Stich, Gourab Ghoshal and Juan Pérez-Mercader

PLOS ONE, 2013, vol. 8, issue 10, 1-6

Abstract: We compare spot patterns generated by Turing mechanisms with those generated by replication cascades, in a model one-dimensional reaction-diffusion system. We determine the stability region of spot solutions in parameter space as a function of a natural control parameter (feed-rate) where degenerate patterns with different numbers of spots coexist for a fixed feed-rate. While it is possible to generate identical patterns via both mechanisms, we show that replication cascades lead to a wider choice of pattern profiles that can be selected through a tuning of the feed-rate, exploiting hysteresis and directionality effects of the different pattern pathways.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0077337

DOI: 10.1371/journal.pone.0077337

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