Optimal control of a coupled degenerate population dynamics model with unknown birth rates
Résumé
We consider a coupled model of degenerate population dynamics with age dependence and spatial structure but with unknown data on the birth rate of individuals. Using the notion of low-regret, we prove that we can bring the state of the second population in a given region to a desired state by acting on the first population via a localized control over a part of habitat. We provide the optimality systems that characterize the adapted low-regret control and prove its convergence to a so-called no-regret control that we characterize.
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