Optimal harvesting for periodic age-dependent population dynamics

被引：86

作者：

Anita, S ^{[1
]}

Iannelli, M

Kim, MY

Park, EJ

机构：

[1] Univ Al I Cuza, Fac Math, Iasi 6600, Romania

[2] Univ Trent, Dept Math, I-38050 Trent, TN, Italy

[3] Univ Wyoming, Dept Math, Laramie, WY 82071 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1998年 / 58卷 / 05期

关键词：

population dynamics; age structure; periodic solutions; Volterra integral equation; optimal harvesting; optimality conditions; numerical algorithm; finite differences;

D O I：

10.1137/S0036139996301180

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here we investigate the optimal harvesting problem for some periodic age-dependent population dynamics; namely, we consider the linear Lotka-McKendrick model with periodic vital rates and a periodic forcing term that sustains oscillations. Existence and uniqueness of a positive periodic solution are demonstrated and the existence and uniqueness of the optimal control are established. We also state necessary optimality conditions. A numerical algorithm is developed to approximate the optimal control and the optimal harvest. Some numerical results are presented.

引用

页码：1648 / 1666

页数：19

共 17 条

[1]

ANITA S, 1990, J MATH ANAL APPL, V152, P176, DOI 10.1016/0022-247X(90)90098-Z

[2]

[Anonymous], 1986, CONVEXITY OPTIMIZATI

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