Copyright © 2010 YoonMee Ham. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
An interface problem derived by a bistable reaction-diffusion system with the spatial average of an activator is studied on an -dimensional ball. We analyze the existence of the
radially symmetric solutions and the occurrence of Hopf bifurcation as a parameter varies in two and