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

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

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 t...

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Main Authors: Shasha Xie, Zhenkun Huang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/683091
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spelling doaj-ddcf28e6c5144e27a6361de81b4cb3f42020-11-24T22:55:56ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/683091683091Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying DelaysShasha Xie0Zhenkun Huang1School of Science, Jimei University, Xiamen 361021, ChinaSchool of Science, Jimei University, Xiamen 361021, ChinaWilson-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.http://dx.doi.org/10.1155/2013/683091
collection DOAJ
language English
format Article
sources DOAJ
author Shasha Xie
Zhenkun Huang
spellingShingle Shasha Xie
Zhenkun Huang
Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays
Discrete Dynamics in Nature and Society
author_facet Shasha Xie
Zhenkun Huang
author_sort Shasha Xie
title Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays
title_short Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays
title_full Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays
title_fullStr Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays
title_full_unstemmed Almost Periodic Solutions for Wilson-Cowan Type Model with Time-Varying Delays
title_sort almost periodic solutions for wilson-cowan type model with time-varying delays
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/683091
work_keys_str_mv AT shashaxie almostperiodicsolutionsforwilsoncowantypemodelwithtimevaryingdelays
AT zhenkunhuang almostperiodicsolutionsforwilsoncowantypemodelwithtimevaryingdelays
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