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Volume 1,     Number 4,     Fall 1993

 

A THREE-TROPHIC-LEVEL MODEL OF PLANKTON
DYNAMICS WITH NUTRIENT RECYCLING
SHIGUI RUAN

Abstract. A three-trophic-level model of plankton dynamics with instantaneous nutrient recycling is considered. The model consists of autotrophic phytoplankton, herbivorous zooplankton, carnivorous zooplankton and dissolved limiting nutrient. Conditions are derived such that one or more components of the populations tend to extinction. Persistence criteria for the model are also obtained. As well, the bifurcation of periodic solutions from one of the coordinate plane into the positive cone is studied.

 

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