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| Content Provider | Springer Nature Link |
|---|---|
| Author | Auger, Pierre Moussaoui, Ali Sallet, Gauthier |
| Copyright Year | 2012 |
| Abstract | We present a dynamical model of a multi-site fishery. The fish stock is located on a discrete set of fish habitats where it is catched by the fishing fleet. We assume that fishes remain on fishing habitats while the fishing vessels can move at a fast time scale to visit the different fishing sites. We use the existence of two time scales to reduce the dimension of the model : we build an aggregated model considering the habitat fish densities and the total fishing effort. We explore a regulation procedure, which imposes an average residence time in patches. Several equilibria exist, a Fishery Free Equilibria (FFEs) as well as a Sustainable Fishery Equilibria (SFEs). We show that the dynamics depends on a threshold which is similar to a basic reproduction ratio for the fishery. When the basic reproduction ratio is less or equal to 1, one of the FFEs is globally asymptotically stable (GAS), otherwise one of the SFEs is GAS. |
| Starting Page | 167 |
| Ending Page | 188 |
| Page Count | 22 |
| File Format | |
| ISSN | 00015342 |
| Journal | Acta Biotheoretica |
| Volume Number | 60 |
| Issue Number | 1-2 |
| e-ISSN | 15728358 |
| Language | English |
| Publisher | Springer Netherlands |
| Publisher Date | 2012-03-15 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Population dynamics Stock-effort model Time scales Aggregation of variables Stability Evolutionary Biology Philosophy of Biology |
| Content Type | Text |
| Resource Type | Article |
| Subject | Philosophy Applied Mathematics Medicine Biochemistry, Genetics and Molecular Biology Environmental Science Agricultural and Biological Sciences |
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