title: Oscillations in plankton models with nutrient recycling.
abstract: Plankton--nutrient interaction models with both instantaneous and delayed nutrient recycling are considered. The system consists of three components: autotrophic phytoplankton, herbivorous zooplankton and dissolved limiting nutrient. Local stability of the equilibria is analysed. It is shown that the positive equilibrium loses its stability when the nutrient input concentration passes through a critical value and the Hopf bifurcation occurs that induces oscillations of the populations. Numerical simulations are carried out to illustrate the obtained results.
authors.affiliation: Department of Mathematics and Statistics and School of Biomedical Engineering, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5. ruan@mscs.dal.ca
authors.forename: S
authors.initials: S
authors.lastname: Ruan
mesh_terms: D000818:Animals; D017753:Ecosystem; D005502:Food; D008954:Models, Biological; D010933:Plankton / Q000254:growth & development*