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  • 标题:Discrete three-stage population model: persistence and global stability results
  • 本地全文:下载
  • 作者:Azmy S. Ackleh ; Patrick De Leenheer
  • 期刊名称:Journal of Biological Dynamics
  • 印刷版ISSN:1751-3758
  • 电子版ISSN:1751-3766
  • 出版年度:2008
  • 卷号:2
  • 期号:4
  • 页码:415-427
  • DOI:10.1080/17513750802001812
  • 出版社:Taylor & Francis
  • 摘要:A general three-stage discrete-time population model is studied. The inherent net reproductive number for this model is derived. Global stability of the origin is established provided that the inherent net reproductive number is less than one. If it is larger than one the existence of a unique positive fixed point is proved and the persistence of the system is established. Finally, for certain parameter ranges global stability of the positive fixed point is proved.
  • 关键词:discrete three-stage model ; extinction ; persistence ; global stability
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