Authors
Karen Page, Philip K Maini, Nicholas AM Monk
Publication date
2003/7/1
Journal
Physica D: Nonlinear Phenomena
Volume
181
Issue
1-2
Pages
80-101
Publisher
North-Holland
Description
The Turing reaction–diffusion model [Phil. Trans. R. Soc. 237 (1952) 37–72] for self-organised spatial pattern formation has been the subject of a great deal of study for the case of spatially homogeneous parameters. The case of parameters which vary spatially has received less attention. Here, we show that a simple step function heterogeneity in a kinetic parameter can lead to spatial pattern formation outside the classical Turing space parameter regime for patterning. This reduces the constraints on the model parameters, extending possible applications. Furthermore, it highlights the potential importance of boundaries during pattern formation.
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