Plankton-toxin interaction with a variable input nutrient

Sophia R.J. Jang, James Baglama, Johannes Rick

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


A simple model of phytoplankton–zooplankton interaction with a periodic input nutrient is presented. The model is then used to study a nutrient–plankton interaction with a toxic substance that inhibits the growth rate of plankton populations. The effects of the toxin upon the existence, magnitude, and stability of the periodic solutions are discussed. Numerical simulations are also provided to illustrate analytical results and to compare more complicated dynamical behaviour.

Original languageEnglish
Pages (from-to)14-30
Number of pages17
JournalJournal of Biological Dynamics
Issue number1
StatePublished - Jan 2008


  • Phytoplankton
  • Poincaré map
  • Toxin
  • Uniform persistence
  • Zooplankton


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