Bimodal epidemic size distributions for near-critical SIR with vaccination

DOI10.1007/s11538-007-9269-yzbMath1139.92020OpenAlexW2027871988WikidataQ47262399 ScholiaQ47262399MaRDI QIDQ932044

Luis F. Gordillo, Anders Martin-Löf, Stephen A. Marion, Prescilla E. Greenwood

Publication date: 8 July 2008

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11538-007-9269-y

zbMATH Keywords

bimodal distributionfinal size distributionstochastic SIR

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)

Related Items (8)

On SIR-models with Markov-modulated events: length of an outbreak, total size of the epidemic and number of secondary infections ⋮ Unnamed Item ⋮ Efficient immunization strategies on complex networks ⋮ A stochastic model of contagion with different individual types ⋮ Near-critical SIR epidemic on a random graph with given degrees ⋮ Critical epidemics, random graphs, and Brownian motion with a parabolic drift ⋮ Stochastic Epidemic Modeling ⋮ Infection process near criticality: influence of the initial condition

Cites Work

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• On the asymptotic distribution of the size of a stochastic epidemic
• Symmetric sampling procedures, general epidemic processes and their threshold limit theorems
• The final size of a nearly critical epidemic, and the first passage time of a Wiener process to a parabolic barrier
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