A Model of a Multi-Site Fishery with Variable Price: from Over-Exploitation to Sustainable Fisheries

Autor:	Fulgence Mansal, T. Nguyen-Huu, P. Auger, Moussa Balde, Sidy Ly
Rok vydání:	2013
Předmět:	Fishery Overexploitation Variable (computer science) Resource (biology) Demand curve Order (exchange) Modeling and Simulation Applied Mathematics Fishing Economics Supply and demand Global variable
Zdroj:	Mathematical Modelling of Natural Phenomena. 8:130-142
ISSN:	1760-6101 0973-5348
DOI:	10.1051/mmnp/20138609
Popis:	We present a mathematical model of a fishery on several sites with a variable price. The model takes into account the evolution during the time of the resource, fishes and boats movements between the different sites, fishing effort and price that varies with respect to supply and demand. We suppose that boats and fishes movements as well as prices variations occur at a fast time scale. We use methods of aggregation of variables in order to reduce the number of variables and we derive a reduced model governing two global variables, respectively the biomass of the resource and the fishing effort of the whole fishery. We look for the existence of equilibria of the aggregated model. We show that the aggregated model can have 1, 2 or 3 non trivial equilibria. We show that a variation of the total number of sites can induce a switch from over-exploitation to sustainable fisheries.
Databáze:	OpenAIRE
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