Abstract
In this paper, we survey recent developments of mathematical modeling and analysis of the dynamics of harmful algae in riverine reservoirs. To make the models more realistic, a hydraulic storage zone is incorporated into a flow reactor model and new mathematical challenges arise from the loss of compactness of the solution maps. The key point in the study of the evolution dynamics is to prove the existence of global attractors for the model systems and the principal eigenvalues for the associated linearized systems without compactness.
| Original language | English |
|---|---|
| Pages (from-to) | 6728-6752 |
| Number of pages | 25 |
| Journal | Mathematical Biosciences and Engineering |
| Volume | 16 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2019 |
Bibliographical note
Publisher Copyright:© 2019 the Author(s).
Keywords
- Basic reproduction ratio
- Global attractor
- Harmful algae
- Persistence and extinction
- Principal eigenvalue
- Threshold dynamics
- Zooplankton