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

Davydov, A.A. & Platov, A.S. (2011). Optimization of stationary solution of a model of size-structured population exploitation. Mathematical Sciences 176 (6) 860-869. 10.1007/s10958-011-0441-4.

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Abstract

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.

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