Optimal harvesting for an age-dependent n-dimensional food chain model

被引：3

作者：

Luo Zhi-xue ^{[1
,2
]}

Du Ming-yin ^{[1
]}

机构：

[1] Lanzhou Jiaotong Univ, Dept Math, Lanzhou 730070, Peoples R China

[2] Hangzhou Inst Elect Engn, Fac Sci, Hangzhou 310018, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2008年 / 29卷 / 05期

基金：

中国国家自然科学基金;

关键词：

food chain; age-dependence; optimal control; the maximum principle;

D O I：

10.1007/s10483-008-0512-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with optimal harvesting policy for an age-dependent n-dimensional food chain model. The existence and uniqueness of non-negative solution of the system are proved using the fixed point theorem. By Mazur's theorem, the existence of optimal control strategy is demonstrated and optimality conditions derived by means of normal cone.

引用

页码：683 / 695

页数：13

共 17 条

[1] CONTROL OF CERTAIN INTERACTING POPULATIONS [J].

ALBRECHT, F ;

GATZKE, H ;

HADDAD, A ;

WAX, N .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1976, 53 (03) :578-603

[2] Optimal harvesting for periodic age-dependent population dynamics [J].

Anita, S ;

Iannelli, M ;

Kim, MY ;

Park, EJ .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1998, 58 (05) :1648-1666

[3] Optimal harvesting for a nonlinear age-dependent population dynamics [J].

Anita, S .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 226 (01) :6-22

[4]

Anita S., 2000, ANAL CONTROL AGE DEP

[5]

[Anonymous], 1986, CONVEXITY OPTIMIZATI

[6] PONTRYAGINS PRINCIPLE FOR CONTROL-PROBLEMS IN AGE-DEPENDENT POPULATION-DYNAMICS [J].

BROKATE, M .

JOURNAL OF MATHEMATICAL BIOLOGY, 1985, 23 (01) :75-101

[7] A problem of optimal harvesting policy in two-stage age-dependent populations [J].

Busoni, G ;

Matucci, S .

MATHEMATICAL BIOSCIENCES, 1997, 143 (01) :1-33

[8] OPTIMAL BIRTH-CONTROL OF POPULATION-DYNAMICS [J].

CHAN, WL ;

GUO, BZ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 144 (02) :532-552

[9]

Clark C. W, 1990, MATH BIOECONOMICS OP

[10] Optimal control of populations of competing species [J].

Crespo, LG ;

Sun, JQ .

NONLINEAR DYNAMICS, 2002, 27 (02) :197-210

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