Optimal Control of a Population Dynamics Model with Missing Birth Rate

Abstract

We consider a model of population dynamics with age dependence and spatial structure but unknown birth rate. Using the notion of Low-regret [1], we prove that we can bring the state of the system to a desired state by acting on the system via a localized distributed control. We provide the optimality systems that characterize the Low-regret control. Moreover, using an appropriate Hilbert space, we prove that the family of Low-regret controls tends to a so-called Noregret control, which we, in turn, characterize.

Bilinear optimal control for a fractional diffusive equation

“…The following result shows the Lipschitz continuity of G. The proof follows using similar arguments as in [17,18,19].…”