The SIS Great Circle Epidemic Model

DOI10.1239/JAP/1214950364zbMath1145.92030OpenAlexW2123716141MaRDI QIDQ3516423

Peter Neal

Publication date: 5 August 2008

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

Full work available at URL: https://doi.org/10.1239/jap/1214950364

zbMATH Keywords

branching processcontact processendemic equilibriumSIS epidemic

Mathematics Subject Classification ID

Epidemiology (92D30) Central limit and other weak theorems (60F05) Signal detection and filtering (aspects of stochastic processes) (60G35) Applications of branching processes (60J85) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (5)

Household epidemic models and McKean-Vlasov Poisson driven stochastic differential equations ⋮ The time to extinction for a stochastic SIS-household-epidemic model ⋮ The SIS epidemic model with Markovian switching ⋮ Endemic Behaviour of SIS Epidemics with General Infectious Period Distributions ⋮ Who is the infector? General multi-type epidemics and real-time susceptibility processes

Cites Work

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• Multitype randomized Reed-Frost epidemics and epidemics upon random graphs
• The basic contact processes
• Contact interactions on a lattice
• Additive set-valued Markov processes and graphical methods
• Epidemics with two levels of mixing
• Stochastic and deterministic models for SIS epidemics among a population partitioned into households
• A general model for stochastic SIR epidemics with two levels of mixing
• The great circle epidemic model.
• The critical contact process dies out
• Stochastic and deterministic analysis of SIS household epidemics
• On the Extinction of theS–I–Sstochastic logistic epidemic
• Precise critical exponents for the basic contact process

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