Volume 1, Number 4, Fall 1993
A THREE-TROPHIC-LEVEL MODEL OF PLANKTON
DYNAMICS WITH NUTRIENT RECYCLING
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.