The Early Stage Behaviour of a Stochastic SIR Epidemic with Term-Time Forcing

DOI10.1239/jap/1261670683zbMath1179.92050OpenAlexW2038999400MaRDI QIDQ3402052

Tom Britton, Mathias Lindholm

Publication date: 2 February 2010

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

Full work available at URL: https://doi.org/10.1239/jap/1261670683

zbMATH Keywords

seasonal forcingthreshold conditionsstochastic epidemicterm-time forcingbranching process in a seasonal environment

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of branching processes (60J85) Applications of renewal theory (reliability, demand theory, etc.) (60K10)

Related Items (7)

The deterministic SIS epidemic model in a Markovian random environment ⋮ Stochastic epidemic models with random environment: quasi-stationarity, extinction and final size ⋮ Stochastic comparisons of mixtures of parametric families in stochastic epidemics ⋮ Analysis of a spatially inhomogeneous stochastic partial differential equation epidemic model ⋮ Cross-infection in epidemics spread by carriers ⋮ Effects of seasonal variation patterns on recurrent outbreaks in epidemic models ⋮ On linear birth-and-death processes in a random environment

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