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.

引用

页数：46

共 50 条

[1] Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion
Christoph Walker
[J]. Journal of Mathematical Biology, 2023, 87
[2] The well-posedness of a SARS epidemic model
Hao, Ruixiao
Zhang, Lingling
Guo, Lina
[J]. WSEAS Transactions on Mathematics, 2014, 13 (01) : 105 - 114
[3] GLOBAL WELL-POSEDNESS OF A HAPTOTAXIS MODEL WITH SPATIAL AND AGE STRUCTURE
Walker, Christoph
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2007, 20 (09) : 1053 - 1074
[4] Well-Posedness and Stability Analysis of a Landscape Evolution Model
Binard, Julie
Degond, Pierre
Noble, Pascal
[J]. JOURNAL OF NONLINEAR SCIENCE, 2024, 34 (01)
[5] Well-Posedness and Stability Analysis of a Landscape Evolution Model
Julie Binard
Pierre Degond
Pascal Noble
[J]. Journal of Nonlinear Science, 2024, 34
[6] On the Well-Posedness of a Fractional Model of HIV Infection
Jleli, Mohamed
Samet, Bessem
[J]. JOURNAL OF FUNCTION SPACES, 2020, 2020
[7] Analysis of the M1 model: Well-posedness and diffusion asymptotics
Goudon, Thierry
Lin, Chunjin
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 402 (02) : 579 - 593
[8] Global well-posedness and dynamics of spatial diffusion HIV model with CTLs response and chemotaxis
Wu, Peng
[J]. Mathematics and Computers in Simulation, 2025, 228 : 402 - 417
[9] ON WELL-POSEDNESS, STABILITY, AND BIFURCATION FOR THE AXISYMMETRIC SURFACE DIFFUSION FLOW
Lecrone, Jeremy
Simonett, Gieri
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2013, 45 (05) : 2834 - 2869
[10] Stability and Well-Posedness of a Nonlinear Railway Track Model
Edalatzadeh, M. Sajjad
Morris, Kirsten A.
[J]. IEEE CONTROL SYSTEMS LETTERS, 2019, 3 (01): : 162 - 167

← 1 2 3 4 5 →