Age-structured SIR model for the spread of infectious diseases through indirect contacts

DOI10.1007/s00009-021-01925-zzbMath1476.34135arXiv2007.11911OpenAlexW3044416426MaRDI QIDQ2062995

Yanyan Li

Publication date: 3 January 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.11911

zbMATH Keywords

semigroups of operatorsSIR modelage-structured population modelRiesz-Fréchet-Kolmogorov theorem

Mathematics Subject Classification ID

Epidemiology (92D30) Nonlinear differential equations in abstract spaces (34G20) Groups and semigroups of linear operators (47D03)

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Cites Work

• Global stability analysis with a discretization approach for an age-structured multigroup SIR epidemic model
• Threshold behaviour of a SIR epidemic model with age structure and immigration
• Threshold and stability results for an age-structured epidemic model
• Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs
• Lyapunov functions and global stability for SIR and SEIR models with age-dependent suscepti\-bility
• Mathematical analysis for an age-structured SIRS epidemic model
• Mathematical analysis of an age-structured SIR epidemic model with vertical transmission
• Realistic population dynamics in epidemiological models: the impact of population decline on the dynamics of childhood infectious diseases. Measles in Italy as an example
• Threshold and stability results for an age-structured SEIR epidemic model
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