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

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  • Joydev Chattopadhyay
  • Ezio Venturino
  • Samrat Chatterjee

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.

Suggested Citation

  • Joydev Chattopadhyay & Ezio Venturino & Samrat Chatterjee, 2013. "Aggregation of toxin-producing phytoplankton acts as a defence mechanism – a model-based study," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 19(2), pages 159-174, April.
    • Handle: RePEc:taf:nmcmxx:v:19:y:2013:i:2:p:159-174
    DOI: 10.1080/13873954.2012.708876
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    References listed on IDEAS

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    1. Upadhyay, Ranjit Kumar & Kumari, Nitu & Rai, Vikas, 2009. "Wave of chaos in a diffusive system: Generating realistic patterns of patchiness in plankton–fish dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 262-276.
    2. Xabier Irigoien & Jef Huisman & Roger P. Harris, 2004. "Global biodiversity patterns of marine phytoplankton and zooplankton," Nature, Nature, vol. 429(6994), pages 863-867, June.
    3. Jef Huisman & Franz J. Weissing, 2000. "reply: Coexistence and resource competition," Nature, Nature, vol. 407(6805), pages 694-694, October.
    4. Edward R. Abraham, 1998. "The generation of plankton patchiness by turbulent stirring," Nature, Nature, vol. 391(6667), pages 577-580, February.
    5. Maayke Stomp & Jef Huisman & Floris de Jongh & Annelies J. Veraart & Daan Gerla & Machteld Rijkeboer & Bas W. Ibelings & Ute I. A. Wollenzien & Lucas J. Stal, 2004. "Adaptive divergence in pigment composition promotes phytoplankton biodiversity," Nature, Nature, vol. 432(7013), pages 104-107, November.
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    Cited by:

    1. Zhao, Shengnan & Yuan, Sanling & Zhang, Tonghua, 2022. "The impact of environmental fluctuations on a plankton model with toxin-producing phytoplankton and patchy agglomeration," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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