Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays

作者:Xie, Shasha; Huang, Zhenkun*
来源:Discrete Dynamics in Nature and Society, 2013, 2013: 683091.
DOI:10.1155/2013/683091

摘要

Wilson-Cowan model of neuronal population with time-varying delays is considered in this paper. Some sufficient conditions for the existence and delay-based exponential stability of a unique almost periodic solution are established. The approaches are based on constructing Lyapunov functionals and the well-known Banach contraction mapping principle. The results are new, easily checkable, and complement existing periodic ones.