@article{fdi:010068753, title = {{I}nteractions between the cross-shore structure of small pelagic fish population, offshore industrial fisheries and near shore artisanal fisheries : a mathematical approach}, author = {{M}chich, {R}. and {B}rochier, {T}imoth{\'e}e and {A}uger, {P}ierre and {B}rehmer, {P}atrice}, editor = {}, language = {{ENG}}, abstract = {{T}his work presents a mathematical model describing the interactions between the cross-shore structure of small pelagic fish population an their exploitation by coastal and offshore fisheries. {T}he complete model is a system of seven {ODE}'s governing three stocks of small pelagic fish population moving and growing between three zones. {T}wo types of fishing fleets are inter-acting with the fish population, industrial boats, constrained to offshore area, and artisanal boats, operating from the shore. {T}wo time scales were considered and we use aggregation methods that allow us to reduce the dimension of the model and to obtain an aggregated model, which is a four dimension one. {T}he analysis of the aggregated model is performed. {W}e discuss the possible equilibriums and their meaning in terms of fishery management. {A}n interesting equilibrium state can be obtained for which we can expect coexistence and a stable equilibrium state between fish stocks and fishing efforts. {S}ome identification parameters are also given in the discussion part of the model.}, keywords = {{F}ishery model ; {I}ndustrial and artisanal fisheries ; {A}ggregation of variables ; {P}arameters identification measures ; {N}ational policy management}, booktitle = {}, journal = {{A}cta {B}iotheoretica}, volume = {64}, numero = {4}, pages = {479--493}, ISSN = {0001-5342}, year = {2016}, DOI = {10.1007/s10441-016-9299-7}, URL = {https://www.documentation.ird.fr/hor/fdi:010068753}, }