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

Shasha Xie and Zhenkun Huang

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-7

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:683091

DOI: 10.1155/2013/683091

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