The role of environmental stochasticity in a toxic phytoplankton–non-toxic phytoplankton–zooplankton system
Article first published online: 23 OCT 2003
Copyright © 2003 John Wiley & Sons, Ltd.
Volume 14, Issue 8, pages 775–792, December 2003
How to Cite
Sarkar, R. R. and Chattopadhayay, J. (2003), The role of environmental stochasticity in a toxic phytoplankton–non-toxic phytoplankton–zooplankton system. Environmetrics, 14: 775–792. doi: 10.1002/env.621
- Issue published online: 14 NOV 2003
- Article first published online: 23 OCT 2003
- Manuscript Accepted: 10 FEB 2003
- Manuscript Received: 2 JUL 2002
- non-toxic phytoplankton;
- toxic phytoplankton;
- stochastic perturbations;
The effects of toxin producing plankton and environmental stochasticity are intriguing problems in marine plankton ecology. To observe the effect of stochastic fluctuation, a non-toxic phytoplankton, toxic phytoplankton and zooplankton (NTP-TPP-Z) system with an assumption that the grazing pressure of zooplankton decreases due to toxic phytoplankton is proposed and analysed. The nature of the dynamics of the system is observed for both the deterministic model and the model with stochastic perturbation around the positive equilibrium. Exchange of stability is also observed for both the cases. To validate the analytical results, numerical experiments and field collected sample observations are also presented. We conclude that the deterministic extinction may be controlled by monitoring the intensity of white noise or artificial eutrophication. Copyright © 2003 John Wiley & Sons, Ltd.