| Issue |
Math. Model. Nat. Phenom.
Volume 18, 2023
|
|
|---|---|---|
| Article Number | 34 | |
| Number of page(s) | 27 | |
| Section | Population dynamics and epidemiology | |
| DOI | https://doi.org/10.1051/mmnp/2023040 | |
| Published online | 22 December 2023 | |
A Mathematical Model of Marine Mucilage, the Case of the Liga on the Basque Coast
LMAP UMR- CNRS 5142, IPRA BP 1155, 64013 Pau Cedex, France
* Corresponding author: guy.vallet@univ-pau.fr
Received:
17
January
2023
Accepted:
24
November
2023
In this paper, we are interested in modeling the production of mucus by diatoms under the constraint of a nutrient limitation and carbon overabundance. The initial questioning comes from the observation of the so-called “liga” on the Aquitaine coast. The biological origin of the phenomenon is presented and discussed based on the existing literature. An original mathematical model incorporating mucus secretion is proposed and its theoretical properties are analized: well-posedness and differentiability with respect to the model parameters. Finally, numerical experiments are provided, investigating the possibility of parameter identification for the model using chemostat-type experiments.
Mathematics Subject Classification: 37N25 / 92D25 / 92D40
Key words: Phytoplancton / ecological models / diatoms / mucilage / mathematical model / system of differential equations / parameter identification
© The authors. Published by EDP Sciences, 2023
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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