Work

Fishery model influenced by pollution with optimal harvesting policy

Year: 2025

Type: article

Abstract: In this work, we proposed a simplified version of the Gordon-Schaefer model in which the mortality rate of the fish stock biomass and the unit cost of effort are due to aquatic pollution, and harvesting is non-linear. Our dynamic study shows that our system is globally bounded and asymptotically and globally stable under certain conditions around the single interior equilibrium point. We then performed a numerical simulation to validate our theoretical results. Next, we determined the maximum sustainable yield (MSY) and maximum equilibrium yield (MEY), and presented numerical results. Finally, using Pontryagin's maximum principle, we determined the optimal control and performed a numerical simulation.

Source: Electronic Journal of Applied Mathematics

DOI: 10.61383/ejam.202534114

Authors: Josué Carlos Israël OULAI, Hypolithe OKOU, David Paul TUO

Institution: Université Félix Houphouët-Boigny

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

SDGs: Life below water, Clean water and sanitation

Open Access status: diamond

OpenAlex ID: W7160919087

FWCI:

Cites: 5

Cited by:

Related to: 10