Existence and uniqueness of endemic states for the age-structured SEIR epidemic model

DOI10.1007/S11424-006-0114-4zbMath1103.92034OpenAlexW2064444813MaRDI QIDQ862995

Jing Chen, Xue-Zhi Li

Publication date: 25 January 2007

Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11424-006-0114-4

zbMATH Keywords

McKendrick-von Foerster equation

Mathematics Subject Classification ID

Epidemiology (92D30) Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Cites Work

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• Analysis of an SEIRS epidemic model with two delays
• An age-dependent epidemic model with application to measles
• The population dynamics of two vertically transmitted infections
• Analytical threshold and stability results on age-structured epidemic models with vaccination
• Threshold and stability results for an age-structured epidemic model
• Existence and uniqueness of endemic states for the age-structured S-I-R epidemic model
• Analysis of an age-dependent SIS epidemic model with vertical transmission and proportionate mixing assumption
• Directly transmitted infections modeling considering an age-structured contact rate
• Global stability for the SEIR model in epidemiology
• Global dynamics of a SEIR model with varying total population size
• Analytical and Numerical Results for the Age-Structured S-I-S Epidemic Model with Mixed Inter-Intracohort Transmission
• Asymptotic behavior for an SIS epidemic model and its approximation
• Threshold and stability results for an age-structured SEIR epidemic model

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