数学季刊 ›› 2013, Vol. 28 ›› Issue (3): 366-375.

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Richards 模型的最优捕获问题

  

  1. School of Mathematics and Statistics, Northeast Normal University
  • 收稿日期:2012-02-22 出版日期:2013-09-30 发布日期:2023-02-23
  • 作者简介:ZENG Zhi-jun(1979-), male, native of Xiajiang, Jiangxi, an associate professor of Northeast Normal University, Ph.D., engages in mathematical biology and control theory.
  • 基金资助:
    Supported by the NSFC(11101075,10971022); Supported by the SRFDP(20090043120009); Supported by the NCET(08-0755)

The Harvesting Optimal Problem of Richards Model

  1. School of Mathematics and Statistics, Northeast Normal University
  • Received:2012-02-22 Online:2013-09-30 Published:2023-02-23
  • About author:ZENG Zhi-jun(1979-), male, native of Xiajiang, Jiangxi, an associate professor of Northeast Normal University, Ph.D., engages in mathematical biology and control theory.
  • Supported by:
    Supported by the NSFC(11101075,10971022); Supported by the SRFDP(20090043120009); Supported by the NCET(08-0755)

摘要: In this paper, the exploitation of single population modelled by Richards model is studied. By choosing the maximum annual-sustainable yield as management objective, we investigate the optimal harvesting policies for autonomous and periodic exploited Richards model. Further, when the functions in the exploited Richards model are stably bounded functions, we study the ultimately optimal harvesting policy and obtain the corresponding average limiting maximum sustainable yield.

关键词: Richards model, stably bounded function, ultimately optimal harvesting policy 

Abstract: In this paper, the exploitation of single population modelled by Richards model is studied. By choosing the maximum annual-sustainable yield as management objective, we investigate the optimal harvesting policies for autonomous and periodic exploited Richards model. Further, when the functions in the exploited Richards model are stably bounded functions, we study the ultimately optimal harvesting policy and obtain the corresponding average limiting maximum sustainable yield.

Key words: Richards model, stably bounded function, ultimately optimal harvesting policy 

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