Well-Posedness and Stability Analysis of an Epidemic Model with Infection Age and Spatial Diffusion
Analysis of PDEs
2023-06-28 v2
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.
Keywords
Cite
@article{arxiv.2212.10137,
title = {Well-Posedness and Stability Analysis of an Epidemic Model with Infection Age and Spatial Diffusion},
author = {Christoph Walker},
journal= {arXiv preprint arXiv:2212.10137},
year = {2023}
}
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32 pages