Nutrient-phytoplankton-zooplankton models with a toxin

S. R.J. Jang, J. Baglama, J. Rick

Research output: Contribution to journalArticlepeer-review

61 Scopus citations


Models of nutrient-plankton interaction with a toxic substance that inhibits either the growth rate of phytoplankton, zooplankton or both trophic levels are proposed and studied. For simplicity, it is assumed that both nutrient and the toxin have the same constant input and washout rate as the chemostat system. The effects of the toxin upon the existence, magnitude, and stability of the steady states are examined. Numerical simulations demonstrate that the system can have multiple attractors when the phytoplankton's nutrient uptake rate is inhibited by the toxin.

Original languageEnglish
Pages (from-to)105-118
Number of pages14
JournalMathematical and Computer Modelling
Issue number1-2
StatePublished - Jan 2006


  • Asymptotic dynamics
  • Inhibitor
  • Liapunov function
  • Plankton populations
  • Toxin
  • Uniform persistence


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