Mansal F., Nguyen-Huu Tri, Auger Pierre, Balde M. (2014). A mathematical model of a fishery with variable market price : sustainable fishery/over-exploitation. Acta Biotheoretica, 62 (3), p. 305-323. ISSN 0001-5342.
Titre du document
A mathematical model of a fishery with variable market price : sustainable fishery/over-exploitation
Acta Biotheoretica, 2014,
62 (3), p. 305-323 ISSN 0001-5342
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.
Plan de classement
Sciences fondamentales / Techniques d'analyse et de recherche [020]
;
Ressources halieutiques [040]
