Optimal harvesting policy for stochastic Logistic population model |
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Authors: | Wenxue Li Ke Wang Huan Su |
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Affiliation: | a Department of Mathematics, Harbin Institute of Technology (Weihai), Weihai 264209, PR China b School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, PR China |
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Abstract: | In this paper, we consider some optimal harvesting policies for single population models, in which the harvest effort and the intrinsic growth rate are disturbed by environment noises. We choose the maximum sustainable yield and the maximum retained profits as two management objectives, and obtain the optimal harvesting policies, respectively. For the two objectives, we give the optimal harvest effort that maximizes the sustainable yield (or retained profits), the maximum of expectation of sustainable yield (or retained profits) and the corresponding variance. Their explicit expressions are determined by the coefficients of equation and the disturbance intensity. |
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Keywords: | Stochastic Logistic equation Optimal harvesting policies Fokker-Planck equation |
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