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General Information
Prof. Adrian Olaru
University Politehnica of Bucharest, Romania
I'm happy to take on the position of editor in chief of IJMO. It's a journal that shows promise of becoming a recognized journal in the area of modelling and optimization. I'll work together with the editors to help it progress.
IJMO 2012 Vol.2(6): 677-680 ISSN: 2010-3697
DOI: 10.7763/IJMO.2012.V2.208

Analysis of Delayed Toxin Producing Phytoplankton-Zooplankton System

Anuraj Singh and Sunita Gakkhar

Abstract—A dynamical model for toxin producing phytoplankton and zooplankton has been formulated and analyzed. Due to gestation of prey, a discrete time delay is incorporated in the predator dynamics. The stability of the delay model is discussed and Hopf-bifurcation to a periodic orbit is established. To substantiate analytical findings, numerical simulations are performed. The system shows rich dynamic behavior including chaos and limit cycles.

Index Terms—Chaos, hopf bifurcation, periodic solution, time delay.

Anuraj Singh is with Graphic Era University, Dehradun 248002, Uttrakhand, India (e-mail: anurajiitr@gmail.com).
Sunita Gakkhar is with India Institute of Technology Roorkee, Roorkee 247667, Uttrakhand, India. (e-mail: sungkfma@iitr.ernet.in).


Cite: Anuraj Singh and Sunita Gakkhar, "Analysis of Delayed Toxin Producing Phytoplankton-Zooplankton System," International Journal of Modeling and Optimization vol. 2, no. 6, pp. 677-680, 2012.

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