Optimal harvesting policy for a stochastic predator-prey model

被引：27

作者：

Liu, Meng ^{[1
]}

Bai, Chuanzhi ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 34卷

基金：

中国国家自然科学基金;

关键词：

Predator-prey model; Random perturbations; Optimal harvesting strategy; FLUCTUATING POPULATIONS; RANDOM-ENVIRONMENTS; SYSTEM; RESOURCE; NOISE;

D O I：

10.1016/j.aml.2014.03.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Optimal harvesting of a stochastic predator-prey model is considered in this paper. Sufficient and necessary criteria for the existence of optimal harvesting strategy are obtained. At the same time, the optimal harvest effort and the maximum of sustainable yield are given. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：22 / 26

页数：5

共 26 条

[1]

Allen LJS, 2010, An introduction to stochastic processes with applications to biology, V2nd

[2] Optimal harvesting of stochastically fluctuating populations [J].

Alvarez, LHR ;

Shepp, LA .

JOURNAL OF MATHEMATICAL BIOLOGY, 1998, 37 (02) :155-177

[3]

[Anonymous], 2009, Stochastic Methods

[4] HARVESTING NATURAL-POPULATIONS IN A RANDOMLY FLUCTUATING ENVIRONMENT [J].

BEDDINGTON, JR ;

MAY, RM .

SCIENCE, 1977, 197 (4302) :463-465

[5] Variable effort harvesting models in random environments: generalization to density-dependent noise intensities [J].

Braumann, CA .

MATHEMATICAL BIOSCIENCES, 2002, 177 :229-245

[6] Continuous versus pulse harvesting for population models in constant and variable environment [J].

Braverman, Elena ;

Mamdani, Reneeta .

JOURNAL OF MATHEMATICAL BIOLOGY, 2008, 57 (03) :413-434

[7]

Bruti-Liberati N., 2010, MONTE CARLO SIMULATI

[8] Bio-economics of a renewable resource in a seasonally varying environment [J].

Castilho, Cesar ;

Srinivasu, Pichika D. N. .

MATHEMATICAL BIOSCIENCES, 2007, 205 (01) :1-18

[9]

Clark CW., 2010, Mathematical bioeconomics: the mathematics of conservation, V3

[10] Optimal harvesting policy for single population with periodic coefficients [J].

Fan, M ;

Wang, K .

MATHEMATICAL BIOSCIENCES, 1998, 152 (02) :165-177

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