Collective epidemic models

DOI10.1016/0025-5564(95)00107-7zbMath0844.92023OpenAlexW2088952876WikidataQ52305358 ScholiaQ52305358MaRDI QIDQ1914212

Philippe Picard, Claude Lefèvre

Publication date: 4 September 1996

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

Full work available at URL: https://doi.org/10.1016/0025-5564(95)00107-7

zbMATH Keywords

collective modelspread of infectious diseasesexact distribution of the final stateSIR-epidemicsvariable infectivity levelsvariable susceptibility levels

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

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Cites Work

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• The dimension of Reed-Frost epidemic models with randomized susceptibility levels
• Final size distributions for epidemics
• The threshold behaviour of epidemic models
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• Threshold limit theorems for some epidemic processes
• The ultimate size of carrier-borne epidemics
• A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes