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J Theor Biol


Title:Oscillations in plankton models with nutrient recycling
Author(s):Ruan S;
Address:"Department of Mathematics and Statistics and School of Biomedical Engineering, Dalhousie University, Halifax, Nova Scotia, Canada B3H 3J5. ruan@mscs.dal.ca"
Journal Title:J Theor Biol
Year:2001
Volume:208
Issue:1
Page Number:15 - 26
DOI: 10.1006/jtbi.2000.2196
ISSN/ISBN:0022-5193 (Print) 0022-5193 (Linking)
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"
Keywords:"Animals Ecosystem *Food Models, Biological Plankton/*growth & development;"
Notes:"MedlineRuan, S eng Research Support, Non-U.S. Gov't England 2001/02/13 J Theor Biol. 2001 Jan 7; 208(1):15-26. doi: 10.1006/jtbi.2000.2196"

 
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