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Article Dans Une Revue Nonlinear Studies Année : 2021

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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Dates et versions

hal-03510055 , version 1 (04-01-2022)

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  • HAL Id : hal-03510055 , version 1

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Cyrille Kenne, Pascal Zongo, René Dorville, Gisèle Mophou. Optimal control of a coupled degenerate population dynamics model with unknown birth rates. Nonlinear Studies, 2021, 28 (4), pp.1225-1252. ⟨hal-03510055⟩

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