The paper deals with optimal control in a linear integral age-dependent model of population
dynamics. A problem for maximizing the harvesting return on a finite time horizon is
formulated and analyzed. The optimal controls are the harvesting age and the rate of
population removal by harvesting. The gradient and necessary condition for an extremum
are derived. A qualitative analysis of the problem is provided. The model shows the
presence of a zero-investment period. A preliminary asymptotic analysis indicates possible …