Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion

被引：0
|
作者：
Walker, Christoph [1 ]
机构：
[1] Leibniz Univ Hannover, Inst Angew Math, Welfengarten 1, D-30167 Hannover, Germany
来源：
JOURNAL OF MATHEMATICAL BIOLOGY | 2023年 / 87卷 / 03期
关键词：
Age-strucutre; Spatial diffusion; Stability of steady states; TRAVELING-WAVE SOLUTIONS; POSITIVE SOLUTIONS; DYNAMICS; EQUATIONS; BEHAVIOR;
D O I：
10.1007/s00285-023-01980-y
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
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.
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页数：46
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