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  • 标题:Stability and Hopf bifurcation analysis in a fractional-order delayed paddy ecosystem
  • 本地全文:下载
  • 作者:Xiaoli Zhou ; Zhaohua Wu ; Zhiming Wang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:315
  • DOI:10.1186/s13662-018-1719-3
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:By introducing a delayed fractional-order differential equation model, we deal with the dynamics of the stability and Hopf bifurcation of a paddy ecosystem with three main components: rice, weeds, and inorganic fertilizer. In the system, there exists an equilibrium for rice and weeds extinction and an equilibrium for rice extinction or weeds extinction. We obtain sufficient conditions for the stability and Hopf bifurcation by analyzing their characteristic equation. Some numerical simulations validate our theoretical results.
  • 关键词:Paddy ecosystem ; Fractional order ; Delay ; Stability ; Hopf bifurcation
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