Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
02 February 2020 |
17 February 2020 |
10 March 2020 |
Abstract: The study of the bioeconomic equilibrium is an important issue in the term of the optimization of the biological exploitation resources [2], we suggest in this work a model for two fishermen who catch three species taking into consideration the fact that the prices of fish populations vary according to the quantity harvested[3]; these species compete with each other for space or food; the natural growth of each species is modeled using a logistic law MARKOV CHAIN. [1] The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable management of the resources and the second one is the preservation of the biodiversity. The existence of the steady states and their stability are studied using MARKOV eigenvalue analysis. The equilibrium point that maximizes the profit of each fisherman is studied by MARKOV CHAIN.
