Optimal birth control of age-dependent competitive species III. Overtaking problem |
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| Authors: | Ze-Rong He Ji-Shu Cheng |
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| Institution: | a Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, PR China
b Institute of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, PR China |
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| Abstract: | A study is made of an overtaking optimal problem for a population system consisting of two competing species, which is controlled by fertilities. The existence of optimal policy is proved and a maximum principle is carefully derived under less restrictive conditions. Weak and strong turnpike properties of optimal trajectories are established. |
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| Keywords: | Competition Overtaking optimality Age-structure Maximum principle Turnpike property |
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