Optimization of stationary solution of a model of size-structured population exploitation
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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.
KeywordsBiomass Stationary Solution Admissible Control Switching Point Switching Function
- 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