Mutually exclusive spiky pattern and segmentation modelled by the five-component meinhardt-gierer system

Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/2971

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DC Field	Value	Language
dc.contributor.author	Winter, M	-
dc.contributor.author	Wei, J	-
dc.coverage.spatial	24	en
dc.date.accessioned	2009-01-20T18:02:42Z	-
dc.date.available	2009-01-20T18:02:42Z	-
dc.date.issued	2008	-
dc.identifier.citation	SIAM Journal on Applied Mathematics. 69 (1) 419-452	en
dc.identifier.uri	http://bura.brunel.ac.uk/handle/2438/2971	-
dc.description.abstract	We consider the five-component Meinhardt-Gierer model for mutually exclusive patterns and segmentation. We prove rigorous results on the existence and stability of mutually exclusive spikes which are located in different positions for the two activators. Sufficient conditions for existence and stability are derived, which depend in particular on the relative size of the various diffusion constants. Our main analytical methods are the Liapunov-Schmidt reduction and nonlocal eigenvalue problems. The analytical results are confirmed by numerical simulations.	en
dc.format.extent	300964 bytes	-
dc.format.mimetype	application/pdf	-
dc.language.iso	en	-
dc.publisher	Society for Industrial and Applied Mathematics	en
dc.subject	Pattern Formation	en
dc.subject	Mutual Exclusion	en
dc.subject	Stability	en
dc.subject	Steady states	en
dc.title	Mutually exclusive spiky pattern and segmentation modelled by the five-component meinhardt-gierer system	en
dc.type	Research Paper	en
Appears in Collections:	Dept of Mathematics Research Papers Mathematical Sciences

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