@article{fdi:010049410, title = {{E}ffects of market price on the dynamics of a spatial fishery model : over-exploited fishery/traditional fishery}, author = {{A}uger, {P}ierre and {M}c{H}ich, {R}. and {R}aissi, {N}. and {K}ooi, {B}. {W}.}, editor = {}, language = {{ENG}}, abstract = {{W}e present a dynamical model of a spatial fishery describing the time evolution of the fish stock, the fishing effort and the market price of the resource. {T}he market price is fixed by the gap between the supply and the demand. {A}ssuming two time scales, we use "aggregation of variables methods" in order to derive a reduced model governing fish density and fishing effort at a slow time scale. {T}he bifurcation analysis of the reduced model is performed. {A}ccording to parameters values, three main cases can occur: (i) a stable fishery free equilibrium, (ii) a stable persistent fishery equilibrium and (iii) coexistence of three strictly positive equilibria, two of them being stable separated by a saddle. {I}n this last case, a stable equilibrium corresponds to a traditional fishery with large fish stock, small fishing effort and small market price. {T}he second stable one corresponds to over-exploitation of the resource with small fish stock, large fishing effort and large market price.}, keywords = {{S}patial fishery ; {M}arket price ; {T}ime scales ; {A}ggregated model ; {M}ulti-stability ; {O}ver-exploitation ; {T}raditional fishery}, booktitle = {}, journal = {{E}cological {C}omplexity}, volume = {7}, numero = {1}, pages = {13--20}, ISSN = {1476-945{X}}, year = {2010}, DOI = {10.1016/j.ecocom.2009.03.005}, URL = {https://www.documentation.ird.fr/hor/fdi:010049410}, }