Persistence in variable-yield nutrient-plankton models

S. R.J. Jang, J. Baglama

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

Nutrient-phytoplankton-zooplankton models with general uptake functions in which only the internal nutrient concentration is capable of catalyzing cell growth and division for phytoplankton are proposed and analyzed. For the constant nutrient input model, it is shown that extinction or persistence of the population depends on its maximal growth rate relative to the total removal rate. The same biological conclusions hold for the periodic nutrient input model. However, while extinction and persistence are expressed in terms of convergence to steady states for the constant nutrient input model, these biological phenomena are exhibited in terms of asymptotic attraction to periodic solutions for the periodic nutrient input model.

Original languageEnglish
Pages (from-to)281-298
Number of pages18
JournalMathematical and Computer Modelling
Volume38
Issue number3-4
DOIs
StatePublished - Sep 5 2003

Keywords

  • Cell quota
  • Obligate predator
  • Periodic system
  • Poincaré map
  • Uniform persistence

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