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The bifurcation analysis of Turing pattern formation induced by delay and diffusion in the Schnakenberg System

Abstract:

A delayed reaction-diffusion Schnakenberg system with Neumann boundary conditions is considered in the context of long range biological selforganisation dynamics incorporating gene expression delays. We perform a detailed stability and Hopf bifurcation analysis and derive conditions for determining the direction of bifurcation and the stability of the bifurcating periodic solution. The delay-diffusion driven instability of the unique spatially homogeneous steady state solution and the diffusi...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.3934/dcdsb.2017031

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
American Institute of Mathematical Sciences Publisher's website
Journal:
Discrete and Continuous Dynamical System - Series B Journal website
Volume:
22
Issue:
2
Pages:
647 - 668
Publication date:
2016-12-01
Acceptance date:
2016-06-24
DOI:
Source identifiers:
631614
Keywords:
Pubs id:
pubs:631614
UUID:
uuid:a240ad46-d22d-4a44-a7b8-b4de0ee33781
Local pid:
pubs:631614
Deposit date:
2016-07-03

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