Optimal control of harvesting for age-dependent predator-prey system

被引:17
|
作者
Zhao, C [1 ]
Wang, MS
Zhao, P
机构
[1] Tianjin Normal Univ, Fac Math Sci, Tianjin 300074, Peoples R China
[2] Xian Jiaotong Univ, Fac Sci, Xian 710049, Peoples R China
[3] Xian Jiaotong Univ, Sch Sci, Xian 710049, Peoples R China
[4] Beijing Jiaotong Univ, Fac Sci, Beijing 100044, Peoples R China
关键词
age-dependence; predator-prey system; optimal harvesting; fixed-point theorem; maximum principle;
D O I
10.1016/j.mcm.2004.07.019
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
In this paper, we consider the optimal harvesting problems for age-dependent predator-prey system. The existence and uniqueness of solution for the system are proven using the Banach fixed-point theorem. The maximum principle is obtained. For small final time T, we give the existence and uniqueness of an optimal control. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:573 / 584
页数:12
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