The optimal harvesting policy for non-autonomous populations with discount |
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Authors: | Hong Qiu Jingliang Lv Ke Wang |
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Affiliation: | Department of Mathematics, Harbin Institute of Technology, Weihai 264209, Shandong, China |
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Abstract: | Infinite horizon and non-autonomous optimal harvesting problems with discounted instantaneous utility are considered in this work. We first show that the optimal harvesting policy exists for a class of single populations by using the maximum principle. Second, the explicit expressions for the optimal harvesting policy and the maximum yields of logistic, Gompertz and Gilpin–Ayahs systems are obtained. |
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