OPTIMAL CONTROL PROBLEM FOR A PERIODIC PREDATOR-PREY MODEL WITH AGE-DEPENDENCE |
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| Affiliation: | Zhixue Luo ,Zhenggang Ba,Xiaodi Yu(Dept.of Math.,Lanzhou Jiaotong University,Lanzhou 730070) |
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| Abstract: | 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. |
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| Keywords: | periodic predator-prey age-dependence optimal harvesting control the maximum principle |
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