Hopf-Pitchfork Bifurcation in a Phytoplankton-Zooplankton Model with Delays
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-26
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The purpose of this paper is to study the dynamics of a phytoplankton-zooplankton model with toxin delay.
By studying the distribution of the eigenvalues of the associated characteristic equation, the pitchfork bifurcation curve of the system is obtained.
Furthermore, on the pitchfork bifurcation curve, we find that the system can undergo a Hopf bifurcation at the positive equilibrium, and we derive the critical values where Hopf-Pitchfork bifurcation occurs.
American Psychological Association (APA)
Zhang, Jia-Fang& Zhang, Dan. 2013. Hopf-Pitchfork Bifurcation in a Phytoplankton-Zooplankton Model with Delays. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-464091
Modern Language Association (MLA)
Zhang, Jia-Fang& Zhang, Dan. Hopf-Pitchfork Bifurcation in a Phytoplankton-Zooplankton Model with Delays. Abstract and Applied Analysis No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-464091
American Medical Association (AMA)
Zhang, Jia-Fang& Zhang, Dan. Hopf-Pitchfork Bifurcation in a Phytoplankton-Zooplankton Model with Delays. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-464091
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464091