OPTIMAL BIRTH CONTROL FOR AN AGE-DEPENDENT COMPETITION SYSTEM OF N SPECIES

被引：0

作者：

Zhixue LUO Zhixue LUO Department of MathematicsLanzhou Jiaotong UniversityLanzhou China ^{[730070
]}

机构：

来源：

Journal of Systems Science & Complexity | 2007年 / 03期

关键词：

Age-dependence; optimal control; population model; system of partial differential equa-tions; the maximum principle;

D O I：

暂无

中图分类号：

O232 [最优控制];

学科分类号：

070105 ; 0711 ; 071101 ; 0811 ; 081101 ;

摘要：

<正> In this paper,we investigate optimal policies for an age-dependent n-dimensional corn-petition system,which is controlled by fertility.By using Dubovitskii-Milyutin's general theory,themaximum principles are obtained for the problems with free terminal states,infinite horizon,and targetsets,respectively.

引用

页码：403 / 415

页数：13

共 6 条

[1] Optimal birth control for an age-dependent n-dimensional food chain model [J].

Luo, ZX ;

He, ZR ;

Li, WT .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 287 (02) :557-576

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

Crespo, LG ;

Sun, JQ .

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

[3]

On the Controllability of the Lotka–McKendrick Model of Population Dynamics[J] . Viorel Barbu,Mimmo Iannelli,Maia Martcheva.Journal of Mathematical Analysis and Applications . 2001 (1)

[4] On a population dynamics control problem with age dependence and spatial structure [J].

Ainseba, B ;

Langlais, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 248 (02) :455-474

[5] Optimal control of population dynamics [J].

Barbu, V ;

Iannelli, M .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1999, 102 (01) :1-14

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

Anita, S .

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

← 1 →