doi: 10.7763/IJMO.2012.V2.208
Analysis of Delayed Toxin Producing Phytoplankton-Zooplankton System
Anuraj Singh
1
,
Sunita Gakkhar
2
- 1 Graphic Era University, Dehradun 248002, Uttrakhand, India.
- 2 India Institute of Technology Roorkee, Roorkee 247667, Uttrakhand, India.
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.
Keywords
- Chaos
- hopf bifurcation
- periodic solution
- time delay
How to 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. https://doi.org/ 10.7763/IJMO.2012.V2.208
Copyright & License
Copyright © 2012 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).