@article{fdi:41660,
  title = {{A}ge dependent fecundity and the dynamics of a density-dependent population model},
  author = {{L}e {P}age, {C}hristophe and {C}ury, {P}hilippe},
  editor = {},
  language = {{ENG}},
  abstract = {{T}he {R}icker stock-recruitment ({SR}) relationship is one of the most commun mathematical models used in fishery science. {W}ithout age-structure, this model is a first-order difference equation that shares with other and similar non-linear models complicated behaviors, including chaotic ones. {A}s many animal populations have demographic characteristics that differ with age, the importance of considering age-structure within population dynamics models may be critical. {I}ntroducing age-structure in the {R}icker model considerably complicates the behavior of the population-dynamicss due to a great sensitivity to life-history parameters. {T}he goal of this study is to explore some of those behaviors. {A} discrete self-regenarating and age-structured model, based on the {R}icker {SR} relationship, is applied to small pelagic fish's species. {A}s any synthetic reproductive function is not defined, the classical {L}eslie matrix notation is not used. {C}onsequently, the exploration of the dynamic behaviors of the model is performed by numerical simulations with associated graphical tools (attractors and bifurcation diagrams). {T}he main result of this study deals with the distribution among age classes of the "reproductive potential per recruit". ({D}'apr{\`e}s r{\'e}sum{\'e} d'auteur)},
  keywords = {{MODELE} {MATHEMATIQUE} ; {POISSON} {MARIN} ; {DYNAMIQUE} {DE} {POPULATION} ; {FECONDITE} ; {MORTALITE} ; {SIMULATION} ; {OCEANOGRAPHIE} {DES} {PECHES} ; {MODELE} {DE} {RICKER}},
  booktitle = {},
  journal = {{M}athematical and {C}omputer {M}odelling},
  volume = {21},
  numero = {6},
  pages = {13--26},
  ISSN = {0895-7177},
  year = {1995},
  DOI = {10.1016/0895-7177(95)00020-3},
  URL = {https://www.documentation.ird.fr/hor/fdi:41660},
}