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1.
Acta Biotheor ; 61(3): 341-52, 2013 Sep.
Article in English | MEDLINE | ID: mdl-24002567

ABSTRACT

This work presents a stock/effort model describing both harvested fish population and fishing effort dynamics. The fishing effort dynamic is controlled by investment which corresponds to the revenue proportion generated by the activity. The dynamics are subject to a set of economic and biological state constraints. The analytical study focuses on the compatibility between state constraints and controlled dynamics. By using the mathematical concept of viability kernel, we reveal situations and management options that guarantee a sustainable system.


Subject(s)
Fisheries , Animals , Fisheries/economics , Models, Economic
2.
Acta Biotheor ; 60(1-2): 189-207, 2012 Jun.
Article in English | MEDLINE | ID: mdl-22392059

ABSTRACT

This work is about the viability domain corresponding to a model of fisheries management. The dynamic is subject of two constraints. The biological constraint ensures the stock perennity where as the economic one ensures a minimum income for the fleets. Using the mathematical concept of viability kernel, we find out a viability domain which simultaneously enables the fleets to exploit the resource, to ensure a minimum income and stock perennity.


Subject(s)
Fisheries , Fishes , Animals , Models, Theoretical
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