Abstract
This paper analytically investigates a nonlocal system of reaction- diffusion-advection equations modeling the competition of two phytoplankton species for a limiting nutrient and light in a water column*where dead phy- toplankton species can get recycled back into the system as a resource for growth. The threshold dynamics of the single population model is first es- tablished. Then the utilization of abstract persistence theory enables us to show that two species population system admits a coexistence steady state and the system is uniformly persistent if the trivial steady state and two global attractors on the boundary are all weak repellers.
Original language | English |
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Pages (from-to) | 2115-2132 |
Number of pages | 18 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 26 |
Issue number | 4 |
DOIs | |
State | Published - 04 2021 |
Bibliographical note
Publisher Copyright:© 2021 American Institute of Mathematical Sciences. All rights reserved.
Keywords
- A water column
- Coexistence
- Light
- Nutrient
- Phytoplankton
- Weak repellers