文章基本信息

标题：Dynamical analysis of a competition model in the turbidostat with discrete delay
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作者：Zuxiong Li ; Yong Yao ; Hailing Wang 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：249
DOI：10.1186/s13662-016-0955-7
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, the dynamic behaviors of a competition model in the turbidostat with discrete delay are investigated. The stability of the positive equilibrium and the existence of a Hopf bifurcation are discussed by choosing the delay of digestion as a bifurcation parameter. Furthermore, we determine the direction and stability of the bifurcating periodic solutions by the normal form and the center manifold theorem. Moreover, some examples are given to illustrate our main results.
关键词：turbidostat ; bifurcating periodic solutions ; digestion delay ; stability ; competition