OPTIMAL CONTROL PROBLEM FOR A PERIODIC PREDATOR-PREY MODEL WITH AGE-DEPENDENCE  

作　　者：Zhixue Luo ,Zhenggang Ba,Xiaodi Yu(Dept.of Math.,Lanzhou Jiaotong University,Lanzhou 730070) 

出　　处：《Annals of Differential Equations》2012年第3期313-319,共7页微分方程年刊（英文版）

基　　金：supported by the National Natural Science Foundation of China(11061017);the Natural Science Foundation of Gansu Province(1010RJZA075)

摘　　要：In this paper,we investigate optimal policy for periodic predator-prey system with age-dependence.Namely,we consider the model with periodic vital rates and initial distribution.The existence of optimal control strategy is discussed by Mazur’s theorem and optimality condition is derived by means of normal cone.In this paper,we investigate optimal policy for periodic predator-prey system with age-dependence.Namely,we consider the model with periodic vital rates and initial distribution.The existence of optimal control strategy is discussed by Mazur's theorem and optimality condition is derived by means of normal cone.

关 键 词：PERIODIC PREDATOR-PREY AGE-DEPENDENCE optimal harvesting control the maximum principle 

分 类 号：O175[理学—数学] O232[理学—基础数学]