A primer on stochastic epidemic models: Formulation, numerical simulation, and analysis

Some mathematical methods for formulation and numerical simulation of stochastic epidemic models are presented. Specifically, models are formulated for continuous-time Markov chains and stochastic differential equations. Some well-known examples are used for illustration such as an SIR epidemic mode...

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Bibliographic Details
Published inInfectious disease modelling Vol. 2; no. 2; pp. 128 - 142
Main Author Allen, Linda J.S.
Format Journal Article
LanguageEnglish
Published China Elsevier B.V 01.05.2017
KeAi Publishing
KeAi Communications Co., Ltd
Subjects
Branching process
Continuous-time Markov chain
Minor outbreak
Stochastic differential equation
Minor outbreak
Branching process
60H10
92D30
Continuous-time Markov chain
60J28
Stochastic differential equation
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Summary:Some mathematical methods for formulation and numerical simulation of stochastic epidemic models are presented. Specifically, models are formulated for continuous-time Markov chains and stochastic differential equations. Some well-known examples are used for illustration such as an SIR epidemic model and a host-vector malaria model. Analytical methods for approximating the probability of a disease outbreak are also discussed.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:2468-0427
2468-2152
2468-0427
DOI:10.1016/j.idm.2017.03.001