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Nutrient, Non-toxic Phytoplankton, Toxic Phytoplankton and Zooplankton Interaction in an Open Marine System

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Aspects of Mathematical Modelling

Part of the book series: Mathematics and Biosciences in Interaction ((MBI))

Abstract

In this paper we propose a mathematical model for the interaction of nutrient, non-toxic phytoplankton, toxic phytoplankton and their predator zooplankton population in an open marine system. For a realistic representation of the open marine plankton ecosystem, we have incorporated various natural phenomena such as spatial flow, nutrient recycling, toxin effects, inter-species competition and grazing at a higher level. Nutrient-phytoplankton-zooplankton interactions are observed to be very complex and situation specific. Different exciting results, ranging from stable situation to cyclic blooms or monospecies bloom, may occur under different favourable conditions, which may give some insights for predictive management.

Work of S. Pal is supported by: UGC MRP NO. F.PSW-063/05-06(ERO).

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Author information

Authors and Affiliations

  1. Centre for Mathematical Biology and Ecology, Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    Nandadulal Bairagi

  2. Department of Mathematics, Ramakrishna Mission Vivekananda Centenary College, Rahara, Kolkata, 700118, India

    Samaresh Pal

  3. Dipartimento di Matematica, Universita’ di Torino, via Carlo Alberto 10, 10123, Torino, Italia

    Samrat Chatterjee

  4. Agricultural and Ecological Research Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata, 700108, India

    Joydev Chattopadhyay

Authors
  1. Nandadulal Bairagi
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  2. Samaresh Pal
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  3. Samrat Chatterjee
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  4. Joydev Chattopadhyay
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Editor information

Editors and Affiliations

  1. Dept. Mathematics, Universiti Brunei Darussalam, BE1410, Gadong, Brunei

    Roger J. Hosking

  2. Dipto. Matematica, Università di Torino, Via Carlo Alberto 10, 10123, Torino, Italy

    Ezio Venturino

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© 2008 Birkhäuser Verlag Basel/Switzerland

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Bairagi, N., Pal, S., Chatterjee, S., Chattopadhyay, J. (2008). Nutrient, Non-toxic Phytoplankton, Toxic Phytoplankton and Zooplankton Interaction in an Open Marine System. In: Hosking, R.J., Venturino, E. (eds) Aspects of Mathematical Modelling. Mathematics and Biosciences in Interaction. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8591-0_3

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