Stability Analysis of Turing Patterns Generated by the Schnakenberg Model

Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/3774

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DC Field	Value	Language
dc.contributor.author	Winter, M	-
dc.contributor.author	Wei, J	-
dc.contributor.author	Iron, D	-
dc.date.accessioned	2009-10-27T12:17:26Z	-
dc.date.available	2009-10-27T12:17:26Z	-
dc.date.issued	2004	-
dc.identifier.citation	J Math Biol 49 (2004), 358-390	en
dc.identifier.uri	http://bura.brunel.ac.uk/handle/2438/3774	-
dc.description.abstract	We consider the following Schnakenberg model on the interval (−1, 1):   ut = D1u − u + vu2 in (−1, 1), vt = D2v + B − vu2 in (−1, 1), u (−1) = u (1) = v (−1) = v (1) = 0, where D1 > 0, D2 > 0, B>0. We rigorously show that the stability of symmetric N−peaked steady-states can be reduced to computing two matrices in terms of the diffusion coefficients D1,D2 and the number N of peaks. These matrices and their spectra are calculated explicitly and sharp conditions for linear stability are derived. The results are verified by some numerical simulations.	en
dc.language.iso	en_US	en
dc.publisher	Springer	en
dc.subject	Symmetric N-peaked solutions	en
dc.subject	Nonlocal Eigenvalue Problem	en
dc.subject	Turing instability	en
dc.title	Stability Analysis of Turing Patterns Generated by the Schnakenberg Model	en
dc.type	Article	en
Appears in Collections:	Dept of Mathematics Research Papers

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