Turing instability and Turing-Hopf bifurcation in diffusive Schnakenberg systems with gene expression time delay

For delayed reaction-diffusion Schnakenberg systems with Neumann boundary conditions, critical conditions for Turing instability are derived, which are necessary and sufficient. And existence conditions for Turing, Hopf and Turing-Hopf bifurcations are established. Normal forms truncated to order 3...

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Veröffentlicht in:	arXiv.org 2018-03
Hauptverfasser:	Jiang, Weihua, Wang, Hongbin, Cao, Xun
Format:	Artikel
Sprache:	eng
Schlagworte:	Boundary conditions Diffusion effects Diffusion rate Gene expression Hopf bifurcation Mathematics - Dynamical Systems Parameters Stability Time lag
Online-Zugang:	Volltext
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