Publikation: Relaxation and Optimal Control of Age- and Space-structured Epidemic Models
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2025
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Zusammenfassung
This work addresses age- and space-structured epidemic models in two different ways: After introducing the well-known classical reaction-diffusion-like system, we introduce a novel approach to population movement which yields a model similar to wave or telegrapher's equations, and analyze existence of solutions and convergence to the classical model. In the second part, we add a control variable and show the existence of an optimal vaccination strategy, give first-order optimality conditions, and conclude with numerical experiments.
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510 Mathematik
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SCHLOSSER, Nicolas, 2025. Relaxation and Optimal Control of Age- and Space-structured Epidemic Models [Dissertation]. Konstanz: Universität KonstanzBibTex
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<dcterms:abstract>This work addresses age- and space-structured epidemic models in two different ways: After introducing the well-known classical reaction-diffusion-like system, we introduce a novel approach to population movement which yields a model similar to wave or telegrapher's equations, and analyze existence of solutions and convergence to the classical model. In the second part, we add a control variable and show the existence of an optimal vaccination strategy, give first-order optimality conditions, and conclude with numerical experiments.</dcterms:abstract>
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Prüfungsdatum der Dissertation
June 27, 2025
Hochschulschriftenvermerk
Konstanz, Univ., Diss., 2025
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Corresponding Authors der Uni Konstanz vorhanden
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Ja
