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Optimization of stationary solution of a model of size-structured population exploitation

  • A. A. Davydov
  • A. S. Platov
Article

We establish the global stability of a nontrivial stationary state of the size-structured population dynamics in the case where the growth rate, mortality, and exploitation intensity depend only on the size and certain conditions on the model parameters are imposed. We show that a stationary state maximizing the profit functional of population exploitation, exists and is unique. We also obtain a necessary optimality condition, owing to which this state can be found numerically. Bibliography: 3 titles.

Keywords

Biomass Stationary Solution Admissible Control Switching Point Switching Function 
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References

  1. 1.
    A, Xabadia, R. Goetz, “The optimal selective logging regime and the Faustman formula,” J. Forest Economy 16, 63–82 (2010).CrossRefGoogle Scholar
  2. 2.
    N. Hritonenko, Yu. Yatsenko, R. Goetz, and A. Xabadia, “A bang-bang regime in optimal harvesting of size-structured populations,” Nonlinear Anal. 71, (2009), e2331–e2336.CrossRefGoogle Scholar
  3. 3.
    A. A. Davydov and T. S. Shutkina, ”Uniqueness of a cycle with discount with respect to its time average profit” [in Russian], Tr. IMM Ur. Branch TAS 17, No. 2 (2011).Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  1. 1.Vladimir State UniversityVladimirRussia
  2. 2.International Institute for Applied Systems AnalysisLaxenburgAustria

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