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Optimal harvesting for an age-dependent <Emphasis Type="Italic">n</Emphasis>-dimensional food chain model |
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| Authors: | Zhi-xue Luo Ming-yin Du |
| Institution: | 1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, P. R. China;Faculty of Science, Hangzhou Institute of Electronic Engineering, Hangzhou 310018, P. R. China 2. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, P. R. China |
| Abstract: | This paper is concerned with optimal harvesting policy for an age-dependent n-dimensional food chain model. The existence and uniqueness of non-negative solution of the system are proved using the fixed point theorem. By Mazur's theorem, the existence of optimal control strategy is demonstrated and optimality conditions derived by means of normal cone. |
| Keywords: | food chain age-dependence optimal control the maximum principle |
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