A two-stage model for the SIR outbreak: accounting for the discrete and stochastic nature of the epidemic at the initial contamination stage

DOI10.1016/j.mbs.2011.09.002zbMath1244.92051OpenAlexW1972831380WikidataQ51526322 ScholiaQ51526322MaRDI QIDQ427090

Michael B. Gravenor, M. Ya. Kel'bert, I. A. Sazonov

Publication date: 13 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.mbs.2011.09.002

zbMATH Keywords

Markov chainspopulation dynamics

Mathematics Subject Classification ID

Epidemiology (92D30) Probabilistic models, generic numerical methods in probability and statistics (65C20) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Ordinary differential equations and systems with randomness (34F05) Medical epidemiology (92C60)

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Cites Work

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• Deterministic epidemiological models at the individual level
• The importance of being discrete (and spatial)
• Stochastic models of some endemic infections
• Pair-level approximations to the spatio-temporal dynamics of epidemics on asymmetric contact networks
• The Speed of Epidemic Waves in a One-Dimensional Lattice of SIR Models
• Travelling waves in a network of SIR epidemic nodes with an approximation of weak coupling
• Probability with Martingales
• Perturbation methods and non-linear hyperbolic waves
• Probability and Statistics by Example

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