Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 218, Issue 1, Pages 157-162Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2011.05.079
Keywords
Stochastic Logistic equation; Optimal harvesting policies; Fokker-Planck equation
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Funding
- NNSF of China [10971022, NCET-08-0755]
- NNSF of Shandong Province [ZR2010AQ021]
- Key Project of Science and Technology of Weihai [2010-3-96]
- Natural Scientific Research Innovation Foundation in Harbin Institute of Technology [HIT.NSRIF. 201016]
- SRF of HIT [HIT (WH) XB200907, HIT (WH) XB200908]
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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. (C) 2011 Elsevier Inc. All rights reserved.
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