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

verfasst von

Christoph Walker

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.

Organisationseinheit(en)

Institut für Angewandte Mathematik

Typ

Artikel

Journal

Journal of Mathematical Biology

Band

87

ISSN

0303-6812

Publikationsdatum

31.08.2023

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Angewandte Mathematik, Agrar- und Biowissenschaften (sonstige), Modellierung und Simulation

Ziele für nachhaltige Entwicklung

SDG 3 – Gute Gesundheit und Wohlergehen

Elektronische Version(en)

https://doi.org/10.48550/arXiv.2212.10137 (Zugang: Offen)
https://doi.org/10.1007/s00285-023-01980-y (Zugang: Offen)