Distribution of the final state and severity of epidemics with fatal risk

DOI10.1016/0304-4149(93)90048-9zbMath0783.60097OpenAlexW2045130938MaRDI QIDQ1312305

Philippe Picard, Claude Lefèvre

Publication date: 14 March 1994

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(93)90048-9

zbMATH Keywords

family of polynomialsepidemic with fatal riskfamily of martingalesfinal state and severitygeneral and fatal epidemics

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Discrete-time Markov processes on general state spaces (60J05) Applications of queueing theory (congestion, allocation, storage, traffic, etc.) (60K30)

Related Items (5)

SIR-type epidemic models as block-structured Markov processes ⋮ Epidemic risk and insurance coverage ⋮ A class of stochastic epidemic models and its deterministic counterpart ⋮ An epidemic model with fatal risk ⋮ Ruin problems for epidemic insurance

Cites Work

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• An epidemic model with fatal risk
• A non-standard family of polynomials and the final size distribution of Reed-Frost epidemic processes
• Applications of martingale theory to some epidemic models
• A unified analysis of the final size and severity distribution in collective Reed-Frost epidemic processes

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