Existence, threshold and stability results for an age-structured epidemic model with vaccination and a non-separable transmission coefficient

DOI10.1080/00207729308949512zbMath0780.92022OpenAlexW1974240279MaRDI QIDQ4693307

David Greenhalgh

Publication date: 25 January 1994

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

Full work available at URL: https://doi.org/10.1080/00207729308949512

zbMATH Keywords

stabilityexistencechildhood diseasesequilibriathresholdlatent periodmaternal antibodiesage-dependent epidemic modelnew-born individualsnon-separable transmission coefficient

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Boundary value problems for linear first-order PDEs (35F15)

Related Items (3)

Age-structured homogeneous epidemic systems with application to the MSEIR epidemic model ⋮ A time since onset of injection model for hepatitis C spread amongst injecting drug users ⋮ Hopf bifurcation in two SIRS density dependent epidemic models

Cites Work

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• Proportionate mixing models for age-dependent infection transmission
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Fixed point techniques in a cone with applications
• Functional analysis in modern applied mathematics
• Threshold and stability results for an age-structured epidemic model
• Endemic Thresholds and Stability in a Class of Age-Structured Epidemics

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