Journal article
The bifurcation analysis of Turing pattern formation induced by delay and diffusion in the Schnakenberg System
- Abstract:
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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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- Files:
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(Accepted manuscript, pdf, 877.7KB)
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- Publisher copy:
- 10.3934/dcdsb.2017031
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Authors
Funding
Bibliographic Details
- 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
Item Description
- Keywords:
- Pubs id:
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pubs:631614
- UUID:
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uuid:a240ad46-d22d-4a44-a7b8-b4de0ee33781
- Local pid:
- pubs:631614
- Deposit date:
- 2016-07-03
Terms of use
- Copyright holder:
- American Institute of Mathematical Sciences
- Copyright date:
- 2016
- Notes:
- Copyright © 2017 American Institute of Mathematical Sciences
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