Droop models of nutrient-plankton interaction with intratrophic predation

S. R.J. Jang, J. Baglama

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3 Scopus citations


Droop models of nutrient-phytoplankton-zooplankton interaction with intratrophic predation of zooplankton are introduced and investigated. The models proposed in this study are open ecosystems which include both a constant and a periodic input nutrient models. A simple stochastic model mimics a randomly varying nutrient input is also presented. For the deterministic models it is shown analytically that intratrophic predation has no effect on the global asymptotic dynamics of the systems if either one of the populations has a negative growth rate. Numerical simulations are also used to investigate the effects of intratrophic predation. Unlike the deterministic models for which both populations can coexist with each other if populations' net growth rates are positive, plankton populations can become extinct if the input nutrient concentration is varied randomly.

Original languageEnglish
Pages (from-to)1106-1128
Number of pages23
JournalApplied Mathematics and Computation
Issue number2
StatePublished - Oct 15 2005


  • Cell quota
  • Intratrophic predation
  • Poincar̀e maps
  • Uniform persistence
  • Wiener process


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