Analytical threshold and stability results on age-structured epidemic models with vaccination

DOI10.1016/0040-5809(88)90016-0zbMath0657.92008OpenAlexW2108561255WikidataQ52564130 ScholiaQ52564130MaRDI QIDQ1111488

David Greenhalgh

Publication date: 1988

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0040-5809(88)90016-0

zbMATH Keywords

epidemiologyequilibrium solutionsmeaslesasymptotically stablethreshold valuerubellavaccination programlocally stablemumpsage-structured mathematical model of diseasesthree-compartmental age-structured model

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Population dynamics (general) (92D25)

Related Items (17)

The nearest neighbor random walk on subspaces of a vector space and rate of convergence ⋮ An SEIV epidemic model for childhood diseases with partial permanent immunity ⋮ Recurrent outbreaks of childhood diseases revisited: The impact of isolation ⋮ Vaccination campaigns for common childhood diseases ⋮ Existence and uniqueness of endemic states for the age-structured SEIR epidemic model ⋮ Global stability of an age-structured SIR epidemic model with pulse vaccination strategy ⋮ Multiple attractors in the response to a vaccination program ⋮ Qualitative analysis of an age-structured SEIR epidemic model with treatment ⋮ Vaccination in density-dependent epidemic models ⋮ Dynamical aspects of an age-structured SIR endemic model ⋮ Some threshold and stability results for epidemic models with a density- dependent death rate ⋮ Hopf bifurcation in two SIRS density dependent epidemic models ⋮ Stability results on age-structured SIS epidemic model with coupling impulsive effect ⋮ Threshold and stability results for an age-structured SEIR epidemic model ⋮ Analysis of an age structured SEIRS epidemic model with varying total population size and vaccination ⋮ Existence and uniqueness of endemic states for the age-structured MSEIR epidemic model. ⋮ Stability analysis of an age-structured epidemic model with vaccination and standard incidence rate

Cites Work

• Evaluation of age-specific vaccination strategies
• Proportionate mixing models for age-dependent infection transmission
• Spatial heterogeneity and the design of immunization programs
• An age-dependent epidemic model with application to measles
• Oscillatory phenomena in a model of infectious diseases
• Stability analysis for models of diseases without immunity
• A Perturbation Method for the Stochastic Recurrent Epidemic
• On an epidemic in a stratified population
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Analytical threshold and stability results on age-structured epidemic models with vaccination