Theory of optimal harvesting for a nonlinear size-structured population in periodic environments

作     者：Ze-Rong He Rong Liu 

作者机构：Institute of Operational Research and Cybernetics Hangzhou Dianzi University Hangzhou 310018 P. R. China 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2014年第7卷第4期

页      面：201-218页

学科分类：07[理学] 08[工学] 070104[理学-应用数学] 081304[工学-建筑技术科学] 0813[工学-建筑学] 0701[理学-数学] 

主　　题：Body size population model harvesting fixed point normal cone Ekeland'sprinciple. 

摘      要：This paper investigates the theoretical aspects for an optimal harvesting problem of a nonlinear size-structured population model in a periodic environment. We establish the well-posedness of the state system by means of frozen coefficients and fixed point reasoning. The existence of a unique optimal policy is proved via Ekeland＇s variational principle, and the first-order optimality conditions are derived by a suitable normM cone and a dual system. The results obtained would be beneficial for exploration of renewable