文章基本信息

标题：Discrete three-stage population model: persistence and global stability results
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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