Abstract
In this paper, we analyze a system modeling the growth of single phytoplankton populations in a water column, where population growth increases monotonically with the nutrient quota stored within individuals. We establish a threshold result on the global extinction and persistence of phytoplankton. Condition for persistence is shown to depend on the principal eigenvalue of a boundary value problem, which is related to the physical transport properties of the water column (i.e. The diffusivity and the sinking speed), nutrient uptake rate, and growth rate.
Original language | English |
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Pages (from-to) | 607-620 |
Number of pages | 14 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 21 |
Issue number | 2 |
DOIs | |
State | Published - 03 2016 |
Keywords
- A water column
- Internal storage
- Spatial variations
- Steady states
- Threshold dynamics