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
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2005年 / 42卷 / 5-6期
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.
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页码：573 / 584
页数：12
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