Stochastic Epidemic Models in Structured Populations Featuring Dynamic Vaccination and Isolation

DOI10.1239/jap/1189717530zbMath1128.92035OpenAlexW2170739614WikidataQ61928959 ScholiaQ61928959MaRDI QIDQ5440632

James Pike, Frank G. Ball, Philip D. O'Neill

Publication date: 5 February 2008

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/jap/1189717530

zbMATH Keywords

couplingvaccinationbioterrorismfinal outcome

Mathematics Subject Classification ID

Epidemiology (92D30) Signal detection and filtering (aspects of stochastic processes) (60G35) Special processes (60K99)

Related Items (10)

The stochastic SEIR model before extinction: computational approaches ⋮ The structure and dynamics of networks with higher order interactions ⋮ On SIR epidemic models with generally distributed infectious periods: Number of secondary cases and probability of infection ⋮ Stochastic comparisons of mixtures of parametric families in stochastic epidemics ⋮ Deterministic epidemic models with explicit household structure ⋮ Control of emerging infectious diseases using responsive imperfect vaccination and isolation ⋮ Epidemic risk and insurance coverage ⋮ A general approach to the integral functionals of epidemic processes ⋮ Assessing the impact of intervention delays on stochastic epidemics ⋮ Threshold behaviour of emerging epidemics featuring contact tracing

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• A useful random time-scale transformation for the standard epidemic model
• A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes

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