Well-Posedness and Stability Analysis of an Epidemic Model with Infection Age and Spatial Diffusion

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Christoph Walker

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OriginalspracheEnglisch
Aufsatznummer52
FachzeitschriftJournal of Mathematical Biology
Jahrgang87
Ausgabenummer3
PublikationsstatusVeröffentlicht - 31 Aug. 2023

Abstract

A compartment epidemic model for infectious disease spreading is investigated, where movement of individuals is governed by spatial diffusion. The model includes infection age of the infected individuals and assumes a logistic growth of the susceptibles. Global well-posedness of the equations within the class of nonnegative smooth solutions is shown. Moreover, spectral properties of the linearization around a steady state are derived. This yields the notion of linear stability which is used to determine stability properties of the disease-free and the endemic steady state in a special case of the model.

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Ziele für nachhaltige Entwicklung

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Well-Posedness and Stability Analysis of an Epidemic Model with Infection Age and Spatial Diffusion. / Walker, Christoph.
in: Journal of Mathematical Biology, Jahrgang 87, Nr. 3, 52, 31.08.2023.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Walker C. Well-Posedness and Stability Analysis of an Epidemic Model with Infection Age and Spatial Diffusion. Journal of Mathematical Biology. 2023 Aug 31;87(3):52. doi: 10.48550/arXiv.2212.10137, 10.1007/s00285-023-01980-y
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