A model for an inshore-offshore fishery

被引：16

作者：

Dubey, B ^{[1
]}

Sinha, P

Chandra, P

机构：

[1] Birla Inst Technol & Sci, Math Grp, Pilani 333031, Rajasthan, India

[2] Indian Inst Technol, Dept Math, Kanpur 208016, Uttar Pradesh, India

来源：

JOURNAL OF BIOLOGICAL SYSTEMS | 2003年 / 11卷 / 01期

关键词：

fishery resource; optimal harvesting; taxation;

D O I：

10.1142/S0218339003000725

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, a nonlinear mathematical model to study the dynamics of an inshore-offshore fishery under variable harvesting is proposed and analyzed. Criteria for local stability, instability and global stability of the system are derived. The optimal harvesting policy is discussed by considering taxation as a control instrument. It is shown that the fishery resources can be protected from overexploitation by increasing the tax and discount rates.

引用

页码：27 / 41

页数：15

共 27 条

[1] [Anonymous], 1988, NAT RES MODEL, DOI DOI 10.1111/J.1939-7445.1988.TB00058.X
[2] Bionomic equilibrium of two-species .1.
Bhattacharya, DK
Begum, S
[J]. MATHEMATICAL BIOSCIENCES, 1996, 135 (02) : 111 - 127
[3] Birkhoff G., 1982, Ordinary Differential Equations
[4] BURGES DN, 1980, INTRO CONTROL THEORY
[5] Chattopadhyay J., 1996, NONLINEAR STUD, V3, P73
[6] DYNAMIC OPTIMIZATION OF COMBINED HARVESTING OF A 2-SPECIES FISHERY
CHAUDHURI, K
[J]. ECOLOGICAL MODELLING, 1988, 41 (1-2) : 17 - 25
[7] A BIOECONOMIC MODEL OF HARVESTING A MULTISPECIES FISHERY
CHAUDHURI, K
[J]. ECOLOGICAL MODELLING, 1986, 32 (04) : 267 - 279
[8] Clark C., 2010, MATH BIOECONOMICMA
[9] Clark C. W., 1985, BIOECONOMIC MODELING
[10] Clark C.W., 1990, MATH BIOECONOMICS OP

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