Optimal control of a population dynamics model with missing birth rate

Kenne C, Leugering G, Mophou G (2020)

Publication Type: Journal article

Publication year: 2020

Journal

SIAM Journal on Control and Optimization Society for Industrial and Applied Mathematics

Book Volume: 58

Pages Range: 1289-1313

Journal Issue: 3

DOI: 10.1137/19M125875X

Abstract

We consider a model of population dynamics with age dependence and spatial structure but unknown birth rate. Using the notion of low-regret [J.-L. Lions, C. R. Acad. ScI. Paris Sér. I Math., 315 (1992), pp. 1253-1257], 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 no-regret control, which we, in turn, characterize.

Authors with CRIS profile

Günter Leugering Lehrstuhl für Angewandte Mathematik

Involved external institutions

University of Buea CM Cameroon (CM) Université des Antilles FR France (FR)

How to cite

APA:

Kenne, C., Leugering, G., & Mophou, G. (2020). Optimal control of a population dynamics model with missing birth rate. SIAM Journal on Control and Optimization, 58(3), 1289-1313. https://doi.org/10.1137/19M125875X

MLA:

Kenne, Cyrille, Günter Leugering, and Gisèle Mophou. "Optimal control of a population dynamics model with missing birth rate." SIAM Journal on Control and Optimization 58.3 (2020): 1289-1313.

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