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William & Mary
[PAST EVENT] Mathematics Colloquium
March 9, 2012
2pm - 3pm
Title: Pattern Formation induced by delay and diffusion in a Schnakenberg system with gene expression.
Abstract: A delayed reaction-diffusion Schnakenberg system subject to the Neumann boundary conditions is considered. We perform a detailed stability and Hopf bifurcation analysis to the system, and derive conditions for determining the direction of bifurcation andthe stability of the bifurcating periodic solution. Delay-diffusion driven instability of the unique constant equilibrium solution and the diffusion-driven instability of the spatially homogeneous periodic solution are investigated.
Abstract: A delayed reaction-diffusion Schnakenberg system subject to the Neumann boundary conditions is considered. We perform a detailed stability and Hopf bifurcation analysis to the system, and derive conditions for determining the direction of bifurcation andthe stability of the bifurcating periodic solution. Delay-diffusion driven instability of the unique constant equilibrium solution and the diffusion-driven instability of the spatially homogeneous periodic solution are investigated.
Contact
Junping Shi [[jxshix]]