A dynamical approach to phytoplankton blooms (Q501472)
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scientific article; zbMATH DE number 6672790
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A dynamical approach to phytoplankton blooms |
scientific article; zbMATH DE number 6672790 |
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A dynamical approach to phytoplankton blooms (English)
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9 January 2017
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In this paper the nutrient-phytoplankton-zooplankon (NPZ) model for phytoplankton is proved. The advection-diffusion equation for the phytoplankton density is derived by using the Lambert-Beer light law. The existence of critical depth is proved or there exists a unique nontrivial stationary solution. Finally, it is proved by Sturm-Lioville theory that instabilities result from Hopf-type bifurcations.
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non-local
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phytoplankton
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reaction-diffusion-advection
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phase space
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existence and uniqueness
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