The stage-structured predator-prey model and optimal harvesting policy

被引：163

作者：

Zhang, XA ^{[1
]}

Chen, LS

Neumann, AU

机构：

[1] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China

[2] Acad Sinica, Inst Math, Beijing 100080, Peoples R China

[3] Bar Ilan Univ, Fac Life Sci, IL-52900 Ramat Gan, Israel

来源：

MATHEMATICAL BIOSCIENCES | 2000年 / 168卷 / 02期

基金：

中国国家自然科学基金;

关键词：

permanence; extinction; threshold of the harvesting; maximum sustainable yield;

D O I：

10.1016/S0025-5564(00)00033-X

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we establish a mathematical model of two species with stage structure and the relation of predator-prey, to obtain the necessary and sufficient condition for the permanence of two species and the extinction of one species or two species. We also obtain the optimal harvesting policy and the threshold of the harvesting for sustainable development. (C) 2000 Elsevier Science Inc. All rights reserved. MSC: 34C05; 92D25.

引用

页码：201 / 210

页数：10

共 19 条

[1] ANALYSIS OF A MODEL REPRESENTING STAGE-STRUCTURED POPULATION-GROWTH WITH STATE-DEPENDENT TIME-DELAY [J].

AIELLO, WG ;

FREEDMAN, HI ;

WU, J .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1992, 52 (03) :855-869

[2] A TIME-DELAY MODEL OF SINGLE-SPECIES GROWTH WITH STAGE STRUCTURE [J].

AIELLO, WG ;

FREEDMAN, HI .

MATHEMATICAL BIOSCIENCES, 1990, 101 (02) :139-153

[3] Bionomic equilibrium of two-species .1. [J].

Bhattacharya, DK ;

Begum, S .

MATHEMATICAL BIOSCIENCES, 1996, 135 (02) :111-127

[4]

CHEN B, 1998, CHINA RED DATA BOOK, P311

[5]

Chen L., 1988, Mathematical Models and Methods in Ecology

[6]

Chen L. S., 1993, Nonlinear Biological Dynamical System

[7]

Clark C.W., 1990, MATH BIOECONOMICS OP

[8]

EIOLKO, 1995, IEEE T AUTOMAT CONTR, V40, P1779

[9]

Freedman H.I., 1980, DETERMINISTIC MATH M

[10]

Hale JK., 1969, ORDINARY DIFFERENTIA

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