Hopf Bifurcation Analysis for the Model of the Chemostat with One Species of Organism

We research the dynamics of the chemostat model with time delay. The conclusion confirms that a Hopf bifurcation occurs due to the existence of stability switches when the delay varies. By using the normal form theory and center manifold method, we derive the explicit formulas determining the stabil...

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Bibliographic Details
Main Authors: Haiyun Bai, Yanhui Zhai
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/829045
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