Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling
Plankton-nutrient interaction models consisting of phytoplankton, herbivorous zooplankton and dissolved limiting nutrient with general nutrient uptake functions and instantaneous nutrient recycling are considered. For the model with constant nutrient input and different constant washout rates, conditions for boundedness of the solutions, existence and stability of non-negative equilibria, as well as persistence are given. Zooplankton-phytoplankton-nutrient interaction models with a fluctuating nutrient input and with a periodic washout rate are also considered, respectively. It is shown that coexistence of the zooplankton and phytoplankton may arise due to positive bifurcating periodic solutions.
zooplankton-phytoplankton-nutrient interaction models
existence and stability of non-negative equilibria
scientific article; zbMATH DE number 410100
scientific article