Dynamics of variable-yield nutrient-phytoplankton-zooplankton models with nutrient recycling and self-shading

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Abstract

Several nutrient-phytoplankton-zooplankton models with internal nutrient storage by phytoplankton are derived and analyzed. It is shown that there are thresholds beyond which the system is uniformly persistent. Variable-yield models with self-shading of phytoplankton are also considered. With respect to uniform persistence, our result demonstrates that the global dynamics of the system with shading are the same as those for which the self-shading mechanism is ignored.

Original languageEnglish
Pages (from-to)229-250
Number of pages22
JournalJournal of Mathematical Biology
Volume40
Issue number3
DOIs
StatePublished - Mar 2000

Keywords

  • Threshold self-shading
  • Uniform persistence
  • Variable yield

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