Control problems of an age-dependentpredator-prey system  

作　　者：HE Ze-rong WANG Hai-tao Institute of Operational Research and Cybernetics,Hangzhou Dianzi University,Hangzhou 310018,China 

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2009年第3期253-262,共10页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (10771048);the Research Project for Post-Graduates Creation of Zhejiang Province (YK2008054)

摘　　要：This paper is concerned with optimal harvesting problems for a system consisting oftwo populations with age-structure and interaction of predator-prey. Existence and uniquenessof non-negative solutions to the system and the continuous dependence of solutions on controlvariables are investigated. Existence of optimal policy is discussed, optimality conditions arederived by means of normal cone and adjoint system techniques.This paper is concerned with optimal harvesting problems for a system consisting oftwo populations with age-structure and interaction of predator-prey. Existence and uniquenessof non-negative solutions to the system and the continuous dependence of solutions on controlvariables are investigated. Existence of optimal policy is discussed, optimality conditions arederived by means of normal cone and adjoint system techniques.

关 键 词：PREDATOR-PREY optimal control SPECIES AGE-STRUCTURE maximum principle 

分 类 号：O231[理学—运筹学与控制论] Q141[理学—数学]