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Modeling migratory grazing of zooplankton on toxic and non-toxic phytoplankton

Chowdhury, T., Roy, S. ORCID: https://orcid.org/0000-0003-2543-924X and Chattopadhyay, J. (2008) Modeling migratory grazing of zooplankton on toxic and non-toxic phytoplankton. Applied Mathematics and Computation, 197 (2). pp. 659-671. ISSN 0096-3003

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To link to this item DOI: 10.1016/j.amc.2007.08.004

Abstract/Summary

Migratory grazing of zooplankton between non-toxic phytoplankton (NTP) and toxic phytoplankton (TPP) is a realistic phenomena unexplored so far. The present article is a first step in this direction. A mathematical model of NTP–TPP-zooplankton with constant and variable zooplankton migration is proposed and analyzed. The asymptotic dynamics of the model system around the biologically feasible equilibria is explored through local stability analysis. The dynamics of the proposed system is explored and displayed for different combination of migratory parameters and toxin inhibition parameters. Our analysis suggests that the migratory grazing of zooplankton has a significant role in determining the dynamic stability and oscillation of phytoplankton zooplankton systems.

Item Type:Article
Refereed:Yes
Divisions:No Reading authors. Back catalogue items
Science > School of Archaeology, Geography and Environmental Science > Department of Geography and Environmental Science
ID Code:36881
Publisher:Elsevier

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