Optimal birth control for an age-dependent n-dimensional food chain model |
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| Authors: | Zhixue Luo Ze-Rong He Wan-Tong Li |
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| Affiliation: | a Department of Mathematics, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China
b Department of Mathematics, Lanzhou University, Lanzhou 730000, People's Republic of China |
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| Abstract: | In this paper, we investigate optimal policies for an age-dependent n-dimensional food chain model, which is controlled by fertility. By using Dubovitskii-Milyutin's general theory, the maximum principles are obtained for problems with free terminal states, infinite horizon and target sets, respectively. |
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| Keywords: | Food chain model Age-dependence System of partial differential equations Optimal control Maximum principle |
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