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Mathematical and Computer Modelling of Dynamical Systems
Methods, Tools and Applications in Engineering and Related Sciences
Volume 19, 2013 - Issue 2
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Original Articles

Aggregation of toxin-producing phytoplankton acts as a defence mechanism – a model-based study

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Pages 159-174 | Received 13 Sep 2011, Accepted 30 Jun 2012, Published online: 30 Jul 2012
 

Abstract

We propose a simple model of toxin-producing phytoplankton–zooplankton interactions in which the former is assumed to be able to detect the presence of zooplankton and to counteract it by forming patches and by releasing some toxic chemicals in the surrounding water. We observe that the formation of patch by the toxin-producing phytoplankton decreases the grazing pressure of zooplankton, resulting in stronger coupling between the interacting species determined by the fraction of the phytoplankton population that aggregates to form patches. Finally, the results were validated by comparing them with an alternative spatial model.

Acknowledgements

The authors are thankful to the learned reviewers for their useful suggestions and comments. The authors also thank Dr. Sanjay Chaudhuri for providing the initial Matlab code for the diffusion model. The work of Samrat Chatterjee was partially supported by MIUR Bando per borse a favore di giovaniricercatori indiani and the work of Joydev Chattopadhyay was partially supported by the MAE Indo-Italian program of cooperation in Science and Technology, ‘Biomedical Sciences’.

Notes

Present address: Immunology Group, International Centre for Genetic Engineering and Biotechnology, Aruna Asaf Ali Marg, New Delhi-110067, India.

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