A Mathematical Model of a Fishery with Variable Market Price: Sustainable Fishery/Over-exploitation

被引：16

作者：

Mansal, Fulgence ^{[1
]}

Tri Nguyen-Huu ^{[2
,3
,4
]}

Auger, Pierre ^{[1
,2
,4
]}

Balde, Moussa ^{[1
]}

机构：

[1] Univ Cheikh Anta Diop, Fac Sci & Tech, Dept Math & Informat, UMI IRD 209,UMMISCO,IRD, Dakar, Senegal

[2] Ctr IRD IIle France, UMI IRD 209, UMMISCO, F-93143 Bondy, France

[3] ENS Lyon, IXXI, Lyon, France

[4] Univ Paris 04, UPMC, Paris, France

来源：

ACTA BIOTHEORETICA | 2014年 / 62卷 / 03期

关键词：

Dynamical systems; Fishery; Variable price; Market price equation; Demand function; Equilibrium; Stability; Sustainable exploitation/overexploitation; MULTISITE FISHERIES; POPULATION-DYNAMICS; OPTIMAL NUMBER; AGGREGATION; ECOSYSTEMS; SITES;

D O I：

10.1007/s10441-014-9227-7

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：305 / 323

页数：19

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