Abstract
We consider plankton-nutrient interaction models consisting of phytoplankton, herbivorous zooplankton and dissolved limiting nutrient with general nutrient uptake functions and instantaneous nutrient recycling. 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. We also consider the zooplankton-phytoplankton-nutrient interaction models with a fluctuating nutrient input and with a periodic washout rate, respectively. It is shown that coexistence of the zooplankton and phytoplankton may arise due to positive bifurcating periodic solutions.
Original language | English (US) |
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Pages (from-to) | 633-654 |
Number of pages | 22 |
Journal | Journal of Mathematical Biology |
Volume | 31 |
Issue number | 6 |
DOIs | |
State | Published - Jul 1993 |
Externally published | Yes |
Keywords
- Bifurcation
- Coexistence
- Fluctuating nutrient input
- Nutrient recycling
- Persistence
ASJC Scopus subject areas
- Modeling and Simulation
- Agricultural and Biological Sciences (miscellaneous)
- Applied Mathematics