Hopf Bifurcation Analysis for the Model of the Chemostat with One Species of Organism
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-17
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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 stability and direction of bifurcating periodic solutions.
Finally, some numerical simulations are given to illustrate the effectiveness of our results.
American Psychological Association (APA)
Bai, Haiyun& Zhai, Yanhui. 2013. Hopf Bifurcation Analysis for the Model of the Chemostat with One Species of Organism. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-501453
Modern Language Association (MLA)
Bai, Haiyun& Zhai, Yanhui. Hopf Bifurcation Analysis for the Model of the Chemostat with One Species of Organism. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-501453
American Medical Association (AMA)
Bai, Haiyun& Zhai, Yanhui. Hopf Bifurcation Analysis for the Model of the Chemostat with One Species of Organism. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-501453
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501453