4.5 Article

Optimal harvesting policy for general stochastic Logistic population model

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 368, Issue 2, Pages 420-428

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2010.04.002

Keywords

Stochastic Logistic equation; Optimal harvesting policies; Fokker-Planck equation

Funding

  1. National Natural Science Foundation of China [10701020, 10971022, NCET-08-0755]
  2. Scientific Research Foundation of Harbin Institute of Technology at Weihai [HIT(WH) XB200907]

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We consider some optimal harvesting policies for a general stochastic Logistic population model. For two management objectives, that are maximum sustainable yield and the maximum retained profits, the optimal harvesting policies are obtained. Meanwhile, the optimal harvest effort, the maximum of expectation of sustainable yield (or retained profits) and the corresponding variance are given. (C) 2010 Elsevier Inc. All rights reserved.

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