The most efficient critical vaccination coverage and its equivalence with maximizing the herd effect

DOI10.1016/J.MBS.2016.09.017zbMath1352.92148OpenAlexW2626151207WikidataQ30394011 ScholiaQ30394011MaRDI QIDQ343067

Willem van Jaarsveld, Jacco Wallinga, Rommert Dekker, Evelot Duijzer

Publication date: 21 November 2016

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: http://repub.eur.nl/pub/79912

zbMATH Keywords

optimizationmathematical modelvaccinationinfectious diseasesreproduction numberheterogeneous mixing

Mathematics Subject Classification ID

Epidemiology (92D30)

Related Items (5)

Measures to assess a warning vaccination level in a stochastic SIV model with imperfect vaccine ⋮ Asymptotic analysis of optimal vaccination policies ⋮ Literature review: the vaccine supply chain ⋮ The benefits of combining early aspecific vaccination with later specific vaccination ⋮ Optimal influenza vaccine distribution with equity

Cites Work

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• Generality of the final size formula for an epidemic of a newly invading infectious disease
• The final size of an epidemic and its relation to the basic reproduction number
• Epidemiological models for heterogeneous populations: Proportionate mixing, parameter estimation, and immunization programs
• Optimal vaccination strategies for a community of households
• Optimal vaccination policies for stochastic epidemics among a population of households
• Is \(R_0\) a good predictor of final epidemic size: foot-and-mouth disease in the UK
• A model for influenza with vaccination and antiviral treatment
• On the Lambert \(w\) function
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• The critical vaccination fraction for heterogeneous epidemic models
• Stability analysis in a class of discrete SIRS epidemic models
• An interior algorithm for nonlinear optimization that combines line search and trust region steps
• The Mathematics of Infectious Diseases
• Contact tracing and antiviral prophylaxis in the early stages of a pandemic: the probability of a major outbreak
• Limiting behaviour in an epidemic model
• Discrete-Variable Extremum Problems
• Estimating the immunity coverage required to prevent epidemics in a community of households

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