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Optimal control of a dynamic system of a fish population

Younes Louartassi, Noureddine Elalami, Said Amhoud, Jamila Elalami

Abstract


The objective of this work is the application of optimal control for system of ordinary differential equations modeling a fish population ages type of class. Seeking to have a revolving reussource fish. For this reason, we use a control representing the industrial fishing effort. The Pontryagin Maximum Principle is used to characterize the optimal control. Thus, the optimality system is derived and solved numerically.

Keywords


Population dynamics, continuous structured model, ecosystem, Optimal control, Pontryagin’s Maximum Principle.

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