A Bioeconomic Model of a Multi-site Fishery with Nonlinear Demand Function: Number of Sites Optimizing the Total Catch
| Autor: | Moussa Balde, Pierre Auger, Sidy Ly |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Biomass (ecology)
Resource (biology) Applied Mathematics Fishing Fisheries Aggregation of variables General Medicine Stability (probability) General Biochemistry Genetics and Molecular Biology Supply and demand Multi-site fishery Fishery Philosophy Variable (computer science) Models Economic Order (exchange) Demand curve Optimum catch Variable price General Agricultural and Biological Sciences Nonlinear demand function General Environmental Science Mathematics |
| Zdroj: | Acta Biotheoretica. 62:371-384 |
| ISSN: | 1572-8358 0001-5342 |
| DOI: | 10.1007/s10441-014-9222-z |
| 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, fish and boat movement between the different sites, fishing effort and price that varies with respect to supply and demand. We suppose that the movements of the boats and resource as well as the variation of the price go on 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 and perform local stability analysis. Two main cases can occur. The first one corresponds to over-exploitation leading to fish extinction. At extinction, the fishing effort tends to a positive value. The second case corresponds to a durable fishery equilibrium which is globally asymptotically stable. In the later case, we show that there exists a number of fishing sites that optimizes the total catch of the fishery. |
| Databáze: | OpenAIRE |
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