OVERTAKING OPTIMAL HARVESTING FOR AN AGE-DEPENDENT n-DIMENSIONAL FOOD CHAIN MODEL  

作　　者：ZHIXUE LUO HUI ZHANG YONGCHENG ZHANG 

机构地区：[1]Department of MathematicsLanzhou Jiaotong UniversityLanzhou 730070, P. R. China

出　　处：《International Journal of Biomathematics》2013年第4期73-97,共25页生物数学学报（英文版）

基　　金：Acknowledgments This work is supported by the Nature Science Foundation of China （11061017） and the Nature Science Foundation of Gansu Province of China （1010RJZA075）.

摘　　要：This paper is concerned with an optimal harvesting problem over an infinite horizon for age-dependent n-dimensional food chain model and the analysis of long-term behaviors of the optimal-controlled system. The existence of overtaking optimal policy is proved and a maximum principle is carefully derived by means of Dubovitskii-Milyutin functional analytical extremum theory. Weak and strong turnpike properties of optimal trajectories are established.

关 键 词：Food chain model overtaking optimal harvesting AGE-DEPENDENCE infinite horizon the maximum principle turnpike property. 

分 类 号：O18[理学—数学] Q141[理学—基础数学]