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  • 标题:Permanence of a Gilpin-Ayala predator-prey system with time-dependent delay
  • 本地全文:下载
  • 作者:Hongying Lu ; Gang Yu
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2015
  • 卷号:2015
  • 期号:1
  • 页码:109
  • DOI:10.1186/s13662-014-0354-x
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, a Gilpin-Ayala predator-prey model with time-dependent delay with m preys and ( n − m ) $(n-m)$ predators is studied, which can be seen as a modification of the traditional Lotka-Volterra competition predator-prey system model. Two sets of sufficient conditions on the permanence of the system are obtained. One set is delay dependent, while the other set is delay independent.
  • 关键词:permanence ; non-autonomous system ; Gilpin-Ayala predator-prey model ; time-dependent delay
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