@article{fdi:010055956,
  title = {{B}asic reproduction ratio for a fishery model in a patchy environment},
  author = {{A}uger, {P}ierre and {M}oussaoui, {A}. and {S}allet, {G}authier},
  editor = {},
  language = {{ENG}},
  abstract = {{W}e present a dynamical model of a multi-site fishery. {T}he fish stock is located on a discrete set of fish habitats where it is catched by the fishing fleet. {W}e assume that fishes remain on fishing habitats while the fishing vessels can move at a fast time scale to visit the different fishing sites. {W}e 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. {W}e explore a regulation procedure, which imposes an average residence time in patches. {S}everal equilibria exist, a {F}ishery {F}ree {E}quilibria ({FFE}s) as well as a {S}ustainable {F}ishery {E}quilibria ({SFE}s). {W}e show that the dynamics depends on a threshold which is similar to a basic reproduction ratio for the fishery. {W}hen the basic reproduction ratio is less or equal to 1, one of the {FFE}s is globally asymptotically stable ({GAS}), otherwise one of the {SFE}s is {GAS}.},
  keywords = {{P}opulation dynamics ; {S}tock-effort model ; {T}ime scales ; {A}ggregation of ; variables ; {S}tability},
  booktitle = {},
  journal = {{A}cta {B}iotheoretica},
  volume = {60},
  numero = {1-2},
  pages = {167--188},
  ISSN = {0001-5342},
  year = {2012},
  DOI = {10.1007/s10441-012-9155-3},
  URL = {https://www.documentation.ird.fr/hor/fdi:010055956},
}