| 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. Bibliography: 3 titles. |
