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  • 标题:Positive Periodic Solutions of a Neutral Impulsive Predator-Prey Model
  • 本地全文:下载
  • 作者:Guirong Liu ; Xiaojuan Song
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2015
  • 卷号:2015
  • DOI:10.1155/2015/818506
  • 出版社:Hindawi Publishing Corporation
  • 摘要:We investigate a ratio-dependent predator-prey model with Holling type III functional response based on system of neutral impulsive differential equations. Sufficient conditions for existence of positive periodic solutions are obtained by applying continuation theorem. Our main results demonstrate that under the suitable periodic impulse perturbations, the neutral impulsive system preserves the periodicity of the corresponding neutral system without impulse. In addition, our results can be applied to the corresponding system without impulsive effect, and thus, extend previous results.
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