@article{fdi:010062478,
title = {{A} mathematical model of a fishery with variable market price : sustainable fishery/over-exploitation},
author = {{M}ansal, {F}. and {N}guyen-{H}uu, {T}ri and {A}uger, {P}ierre and {B}alde, {M}.},
editor = {},
language = {{ENG}},
abstract = {{W}e present a mathematical bioeconomic model of a fishery with a variable price. {T}he model describes the time evolution of the resource, the fishing effort and the price which is assumed to vary with respect to supply and demand. {T}he supply is the instantaneous catch while the demand function is assumed to be a monotone decreasing function of price. {W}e show that a generic market price equation ({MPE}) can be derived and has to be solved to calculate non trivial equilibria of the model. {T}his {MPE} can have 1, 2 or 3 equilibria. {W}e perform the analysis of local and global stability of equilibria. {T}he {MPE} is extended to two cases: an age-structured fish population and a fishery with storage of the resource.},
keywords = {{D}ynamical systems ; {F}ishery ; {V}ariable price ; {M}arket price equation ; {D}emand function ; {E}quilibrium ; {S}tability ; {S}ustainable ; exploitation/overexploitation},
booktitle = {},
journal = {{A}cta {B}iotheoretica},
volume = {62},
numero = {3},
pages = {305--323},
ISSN = {0001-5342},
year = {2014},
DOI = {10.1007/s10441-014-9227-7},
URL = {https://www.documentation.ird.fr/hor/fdi:010062478},
}