Optimal harvesting problems for age-dependent interacting species with diffusion

被引：20

作者：

Zhao, C ^{[1
]}

Wang, MS

Zhao, P

机构：

[1] Xi An Jiao Tong Univ, Sch Sci, Dept Appl Math, Xian 710049, Peoples R China

[2] NingXia Univ, Sch Math & Comp Sci, Yinchuan 750021, Peoples R China

[3] Xi An Jiao Tong Univ, Dept Informat & Commun Engn, Xian 710049, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 163卷 / 01期

关键词：

population dynamics; age-dependence; optimal harvesting; maximum principle;

D O I：

10.1016/j.amc.2004.01.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the optimal harvesting problems of a predator-prey system for two age-dependent populations with diffusion. The existence and uniqueness of solutions for the system are proven using the fixed point theorem. The existence of optimal control and maximum principles for problems are obtained. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：117 / 129

页数：13

共 50 条

[41] Control problems of an age-dependent predator-prey system [J].

Ze-rong He ;

Hai-tao Wang .

Applied Mathematics-A Journal of Chinese Universities, 2009, 24 :253-262

[42] Minimax control problems of nonlinear age-dependent population system [J].

Li, Xi-Ning .

PROCEEDINGS OF 2006 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-7, 2006, :625-630

[43] THE　OPTIMAL　CONTROL　OF　AGE－DEPENDENT　POPULATION　DYNAMICS　BASED　ON　PARITY　PROGRESSION [J].

GUO BaozhuDepartment of Applied Mathematics Beijing Institute of Technology Beijing ChinaWU GuofuInstitute of Applied Mathematics Academia Sinica Beijing China .

Systems Science and Mathematical Sciences, 1996, (04) :333-344

[44] Optimal control for age-dependent population hybrid system in a polluted environment [J].

Luo, Zhixue ;

He, Ze-Rong .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 228 :68-76

[45] Optimal harvesting for a population dynamics problem with age-structure and diffusion [J].

Luo Z. .

Journal of Applied Mathematics and Computing, 2007, 25 (1-2) :35-50

[46] Optimal control for an age-dependent predator-prey system in a polluted environment [J].

Luo Z. .

Journal of Applied Mathematics and Computing, 2014, 44 (1-2) :491-509

[47] Optimal harvesting from interacting populations in a stochastic environment [J].

Lungu, E ;

Oksendal, B .

BERNOULLI, 2001, 7 (03) :527-539

[48] Global attractivity in a non-monotone age-structured model with age-dependent diffusion and death rates [J].

Al-Jararha, M. .

ADVANCES IN DIFFERENCE EQUATIONS, 2018,

[49] The Surprising Power of Age-Dependent Taxes [J].

Weinzierl, Matthew .

REVIEW OF ECONOMIC STUDIES, 2011, 78 (04) :1490-1518

[50] Age-Dependent Utilization of Shelters and Habitat in Two Reptile Species with Contrasting Intraspecific Interactions [J].

Kolanek, Aleksandra ;

Bury, Stanislaw ;

Turniak, Edyta ;

Szymanowski, Mariusz .

ANIMALS, 2019, 9 (11)

← 1 2 3 4 5 →