title: A mathematical model of a fishery with variable market price: sustainable fishery/over-exploitation.
abstract: 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.
authors: Département de mathématiques et informatique, Faculté des Sciences et techniques, UMI IRD 209, UMMISCO, IRD, Université Cheikh Anta Diop, Dakar, Senegal, fulgence.mansal@ucad.edu.sn.
authors: Fulgence
authors: F
authors: Mansal
authors: Tri
authors: T
authors: Nguyen-Huu
authors: Pierre
authors: P
authors: Auger
authors: Moussa
authors: M
authors: Balde
mesh_terms: D003365:Costs and Cost Analysis; D005398:Fisheries; D018803:Models, Economic