Optimal harvesting policies for periodic Gompertz systems |
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| Institution: | 1. School of Industrial Engineering, College of Engineering, University of Tehran, P.O. Box 11155/4563, Tehran, Iran;2. School of Industrial Engineering and Systems, Amirkabir University of Technology, Tehran, Iran;3. Department of Industrial Engineering, Faculty of Engineering, College of Farabi, University of Tehran, Tehran, Iran;1. School of Science, Southwest University of Science and Technology, Mianyang, China;2. State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, China;3. School of Science, Southwest Petroleum University, Chengdu, China;1. School of Science, Chongqing University of Posts and Telecommunications, Chongqing, 400065, China;2. School of International Business, Sichuan International Studies University, Chongqing 400031, China |
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| Abstract: | In this paper, we study the periodic Gompertz system with harvesting. First, we analyze the system with continuous harvesting and obtain the maximum annual-sustainable yield, the optimal harvesting effort and the optimal population level for such a system. Then, the harvesting is assumed to occur at fixed moments every year, and we establish the Gompertz system with impulsive perturbation. And we investigate the impulsive harvesting policy to maximize the annual yield and to keep the population sustainable development. At last, the optimal results of the impulsive harvesting system are compared with those of the continuous harvesting system. |
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