A mathematical model of a fishery with variable market price : sustainable fishery/over-exploitation
Mansal, F.
/Nguyen-Huu, Tri
/Auger, Pierre
Balde, M.
Dynamical systems
Fishery
Variable price
Market price equation
Demand function
Equilibrium
Stability
Sustainable
exploitation/overexploitation
We present a mathematical bioeconomic model of a fishery with a variable price. The 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. The supply is the instantaneous catch while the demand function is assumed to be a monotone decreasing function of price. We show that a generic market price equation (MPE) can be derived and has to be solved to calculate non trivial equilibria of the model. This MPE can have 1, 2 or 3 equilibria. We perform the analysis of local and global stability of equilibria. The MPE is extended to two cases: an age-structured fish population and a fishery with storage of the resource.
2014
text
https://www.documentation.ird.fr/hor/fdi:010062478
oai:ird.fr:fdi:010062478
Mansal F., Nguyen-Huu Tri, Auger Pierre, Balde M.. A mathematical model of a fishery with variable market price : sustainable fishery/over-exploitation. 2014, 62 (3), 305-323
EN