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2013 Hopf-Pitchfork Bifurcation in a Phytoplankton-Zooplankton Model with Delays
Jia-Fang Zhang, Dan Zhang
Abstr. Appl. Anal. 2013: 1-5 (2013). DOI: 10.1155/2013/340174


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.


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Jia-Fang Zhang. Dan Zhang. "Hopf-Pitchfork Bifurcation in a Phytoplankton-Zooplankton Model with Delays." Abstr. Appl. Anal. 2013 1 - 5, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 1295.34090
MathSciNet: MR3132571
Digital Object Identifier: 10.1155/2013/340174

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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