@article{fdi:010048381,
  title = {{A} model of a fishery with fish stock involving delay equations},
  author = {{A}uger, {P}ierre and {D}ucrot, {A}.},
  editor = {},
  language = {{ENG}},
  abstract = {{T}he aim of this paper is to provide a new mathematical model for a fishery by including a stock variable for the resource. {T}his model takes the form of an infinite delay differential equation. {I}t is mathematically studied and a bifurcation analysis of the steady states is fulfilled. {D}epending on the different parameters of the problem, we show that {H}opf bifurcation may occur leading to oscillating behaviours of the system. {T}he mathematical results are finally discussed.},
  keywords = {fishery models ; delay differential equation ; {H}opf bifurcation},
  booktitle = {},
  journal = {{P}hilosophical {T}ransactions of the {R}oyal {S}ociety a - {M}athematical {P}hysical and {E}ngineering {S}ciences},
  volume = {367},
  numero = {1908},
  pages = {4907--4922},
  ISSN = {1364-503{X}},
  year = {2009},
  DOI = {10.1098/rsta.2009.0147},
  URL = {https://www.documentation.ird.fr/hor/fdi:010048381},
}