A Prey-Predator Model with Marine Reserve

被引：0

作者：

Das, Uttam ^{[1
]}

机构：

[1] Sree Chaitanya Coll, Dept Math, 24PGS N, Habra 743268, India

来源：

INTERNATIONAL JOURNAL OF ECOLOGICAL ECONOMICS & STATISTICS | 2019年 / 40卷 / 03期

关键词：

Prey-predator; Fishery resource; Marine reserve; Optimal control; ALTERNATIVE FOOD; FISHERY; RESOURCE; PROVISION; SYSTEM;

D O I：

暂无

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

In this paper, I describe a prey-predator type fishery model with prey dispersal in a two-patch environment, one of which is a free fishing zone and other is a protected zone. The existence of possible steady states, along with their local stability and global stability, is discussed. I then examine the possibilities of the existence of bionomic equilibrium. An optimal harvesting policy is also discussed using Pontryagin's maximum principle.

引用

页码：38 / 49

页数：12

共 22 条

[1]

Agarwal A, 2014, Int. J. of Eng. Scie. and Tech., V6, P1, DOI [10.4314/ijest.v6i2.1, DOI 10.4314/IJEST.V6I2.1]

[2] OPTIMAL GOVERNING INSTRUMENT, OPERATION LEVEL, AND ENFORCEMENT IN NATURAL-RESOURCE REGULATION - THE CASE OF THE FISHERY [J].

ANDERSON, LG ;

LEE, DR .

AMERICAN JOURNAL OF AGRICULTURAL ECONOMICS, 1986, 68 (03) :678-690

[3]

Birkoff G., 1982, Ordinary Differential Equations

[4]

Chakraborty K., 2009, WORLD J MODELLING SI, V5, P82

[5] An ecological perspective on marine reserves in prey-predator dynamics [J].

Chakraborty, Kunal ;

Das, Kunal ;

Kar, T. K. .

JOURNAL OF BIOLOGICAL PHYSICS, 2013, 39 (04) :749-776

[6]

Clark C.W., 1990, Mathematical Bioeconomics: The Optimal Management of Renewable Resources, Vsecond

[7]

Daga N., 2014, IJSR, V3, P2129

[8]

Das U, 2018, INT J ECOL ECON STAT, V39, P155

[9] A model for fishery resource with reserve area [J].

Dubey, B ;

Chandra, P ;

Sinha, P .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2003, 4 (04) :625-637

[10]

Dubey B., 2007, Nonlinear Analysis Modelling and Control, V12, P479

← 1 2 3 →