Nossaiba Baba, Imane Agmour, Youssef El Foutayeni, Naceur Achtaich
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Toxicity impacts on bioeconomic models of phytoplankton and zooplankton interactions
The primary aim of this research is to investigate how the presence of toxicity, stemming from phytoplankton, impacts fishing activities, catch levels, and financial returns. It is hypothesized that this toxicity arises when zooplankton accumulates harmful substances while consuming phytoplankton. To achieve this objective, we analyze a model resembling a prey-predator relationship involving phytoplankton. We examine the stable conditions in our model by utilizing eigenvalue analysis and calculate the optimal fishing effort that maximizes profitability for fishermen, employing the concept of generalized Nash equilibrium. Additionally, we explore the most effective harvesting strategy by applying Pontryagin’s maximum principle. In our numerical simulations, we identify the key variables that influence all economic aspects of the model, including fishing effort, catch levels, and benefits. Furthermore, we compare our results with findings from previous research.
期刊介绍:
Ocean Dynamics is an international journal that aims to publish high-quality peer-reviewed articles in the following areas of research:
Theoretical oceanography (new theoretical concepts that further system understanding with a strong view to applicability for operational or monitoring purposes);
Computational oceanography (all aspects of ocean modeling and data analysis);
Observational oceanography (new techniques or systematic approaches in measuring oceanic variables, including all aspects of monitoring the state of the ocean);
Articles with an interdisciplinary character that encompass research in the fields of biological, chemical and physical oceanography are especially encouraged.