The role of cleaner fish in a predator-prey model: dynamics and optimal harvesting

Mohamed Hafdane, Hamza Boutayeb, Imane Agmour, Youssef El Foutayeni, Naceur Achtaich

Abstract


This study focuses on a predator-prey model that includes a Cleaner Fish. It highlights the crucial role of the Cleaner Fish in the system dynamics, as well as the effect of fishing on the three species. The analysis begins by studying the positivity and boundedness of the solutions to ensure that the populations remain present and limited. The stability of the system is examined around the interior equilibrium point, which represents a state where the populations of prey, predators, and Cleaner Fish maintain balance. The optimal harvesting policy is also investigated, aiming to find the fishing strategy that maximizes the dynamic profit of the species while preserving their sustainability. Finally, numerical simulations using Matlab software are conducted to illustrate the theoretical results obtained.

Full Text: PDF

Published: 2023-09-04

How to Cite this Article:

Mohamed Hafdane, Hamza Boutayeb, Imane Agmour, Youssef El Foutayeni, Naceur Achtaich, The role of cleaner fish in a predator-prey model: dynamics and optimal harvesting, Commun. Math. Biol. Neurosci., 2023 (2023), Article ID 92

Copyright © 2023 Mohamed Hafdane, Hamza Boutayeb, Imane Agmour, Youssef El Foutayeni, Naceur Achtaich. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

ISSN 2052-2541

Editorial Office: [email protected]

 

Copyright ©2024 CMBN