Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 197, Issue 2, Pages 659-671Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2007.08.004
Keywords
toxin-producing phytoplankton; limit cycle; equilibria; non-equilibria; stability; density-dependent migrations; aggregation method
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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. (c) 2007 Published by Elsevier Inc.
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