@inproceedings{fdi:010072138,
  title = {{O}ptimal fishing agreement between neighboring countries sharing a common migratory fish population [r{\'e}sum{\'e}]},
  author = {{B}rochier, {T}imoth{\'e}e and {N}guyen {T}rong {H}ieu and {A}uger, {P}ierre and {M}achu, {E}ric and {B}rehmer, {P}atrice},
  editor = {},
  language = {{ENG}},
  abstract = {{A} mathematical model is developed to represent an idealized system of a shared fish stock associated with different exclusive economic zones. {W}e apply such model on small pelagic fisheries shared between {S}outhern {M}orocco, {M}auritania and the {S}enegambia. {T}he complete model is a set of six ordinary differential equations describing the time evolution of the fish biomass and the fishing effort in the three zones. {T}he fish species targeted as small pelagics could be consid- ered to perform quick displacement between the different zones, in comparison to their growth and harvesting. {W}e take advantage of the two time scales to obtain a reduced model governing the total fish biomass of the system and fishing efforts in each zone. {W}e study existence and stability of equilibrium points of the reduced model. {T}he simulations show that as a result of competition between fisheries per zone there can only be one winner in the general case. {N}evertheless there is also an arising case that allows an operational management of shared fisheries by acting on the cost of fishing unit effort, indeed we found that a large number of equilibrium exist. {F}rom this last case the initial distribution of fishing effort strongly impact the optimal equilibrium that can be reached. {L}astly the model report that the country with the highest carrying capacity density may get less landings when collaborating with other countries than if it minimise its fishing costs. {S}uch findings should allows regional fisheries organizations to get potential new ways for neighbouring fish stock management plan.},
  keywords = {{SENEGAL} ; {GAMBIE} ; {MAURITANIE} ; {MAROC} ; {ATLANTIQUE}},
  numero = {},
  pages = {102},
  booktitle = {{I}nternational conference {ICAWA} 2016 : extended book of abstract : the {AWA} project : ecosystem approach to the management of fisheries and the marine environment in {W}est {A}frican waters},
  year = {2017},
  ISBN = {978-2-9553602-0-5},
  URL = {https://www.documentation.ird.fr/hor/fdi:010072138},
}