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  • 标题:Existence of the non-constant steady states to a fractional diffusion predator-prey system including Holling type-II functional response
  • 本地全文:下载
  • 作者:Chenglin Li
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2017
  • 卷号:2017
  • 期号:1
  • 页码:165
  • DOI:10.1186/s13662-017-1189-z
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper is concerned with a fractional diffusion predator-prey system with Holling type-II functional response in a bounded domain with no flux boundary condition. The local and global stabilities are investigated and sufficient conditions of stabilities are obtained. The existence of the non-constant steady states is considered and the sufficient conditions of the existence for the non-constant steady states are also obtained. The results show that the predator and the prey can coexist under some suitable conditions with fractional diffusion.
  • 关键词:fractional diffusion ; stability ; steady states
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