Stabilization of a Harvested Fish Population

In this paper one uses some tools of automatic control to stabilize the Moroccan sardine fishery system, the continuous age-structured fishery model is considered. More precisely one takes the ashing effort as a control term the age classes as a states and the total catch as a measured output. One interests in the design of a fishing strategy by constructing a linear feed back control law that permits to stabilize the studied system around a nontrivial steady state. One gives a sufficient condition for a globally stabilizing for the system via Lyapunov function.