Harvesting model for fishery resource  with reserve area of  bird predator and modified effort function

Y. Louartassi1* and J. El Alami2 and N. Elalami3

doi:10.26637/MJM0504/0008

Harvesting model for fishery resource with reserve area of bird predator and modified effort function

Authors :

Y. Louartassi^1* and J. El Alami² and N. Elalami³

Author Address :

¹Mohammed V University in Rabat, Superior School of Technology Sal´ e, LASTIMI, Sal´ e, Morocco.
²Mohammed V University in Rabat, Superior School of Technology Sal´ e, LASTIMI, Sal´ e, Morocco.
³Mohammed V University in Rabat, Mohammadia School of Engineers, Rabat, Morocco.

*Corresponding author.

Abstract :

The purpose of this paper is to study the dynamics of fisheries resources with reserve area, in the presence of bird predators. Aquatic area under investigation is divided into two areas : one for the free fishing and other limited for any type of fishing. In the project harvesting system according to the modified $E$ effort is considered, which depends on the effect of resource density. The local and stability criteria, the overall stability and instability are established for the project model. Finally, the theoretical results are illustrated by numerical simulations in the last section.

Keywords :

Fichery effort, Stability, Harvesting.

DOI :

10.26637/MJM0504/0008

Article Info :

Received : June 18, 2017; Accepted : September 09, 2017.