On the Dynamic Regulation of a Non Linear Model Fish Population
- Aboudramane Guiro
- Abderrahman Iggidr
- Diene Ngom
Abstract
In this work we deal with the stability property of a discrete-time nonlinear model of a harvested fish population with the Beverthon-Holt recruitment relationship. We use the method of Lyapunov functions to show that the positive equilibrium state of the stage structured model fish corresponding to a constant fishing intensity is globally and asymptotically stable. Since the fishing intensity is often variable, we also propose how a variable fishing intensity may be controlled through feedback in order to stabilize the fish population state around the positive equilibrium state.- Full Text:
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- DOI:10.5539/jmr.v5n2p84
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