The basic reproduction number and the probability of extinction for a dynamic epidemic model

DOI10.1016/J.MBS.2012.01.002zbMath1375.92067OpenAlexW1993392887WikidataQ51440051 ScholiaQ51440051MaRDI QIDQ419391

Peter Neal

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.mbs.2012.01.002

zbMATH Keywords

extinction probabilitybasic reproduction numberbranching process approximationdynamic SIR epidemics

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of branching processes (60J85)

Related Items (7)

The virus variation model by considering the degree-dependent spreading rate ⋮ Probability of a disease outbreak in stochastic multipatch epidemic models ⋮ Dynamic behavior analysis of SIVS epidemic models with state-dependent pulse vaccination ⋮ Relations between deterministic and stochastic thresholds for disease extinction in continuous- and discrete-time infectious disease models ⋮ Disease emergence in multi-patch stochastic epidemic models with demographic and seasonal variability ⋮ A stochastic SIR model on a graph with epidemiological and population dynamics occurring over the same time scale ⋮ Discrete stochastic metapopulation model with arbitrarily distributed infectious period

Cites Work

• Unnamed Item
• Dynamic population epidemic models
• Strong approximations for epidemic models
• Strong approximations for mobile population epidemic models
• The threshold behaviour of epidemic models
• The final size and severity of a generalised stochastic multitype epidemic model
• Some comparison results for multitype epidemic models
• The final outcome of an epidemic model with several different types of infective in a large population
• Passage-time generating functions for continuous-time finite Markov chains
• Occupation times for two state Markov chains

This page was built for publication: The basic reproduction number and the probability of extinction for a dynamic epidemic model