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

Linda J.S. Allen

doi:10.1016/j.idm.2017.03.001

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

Linda J.S. Allen

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

169 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	128-142
Number of pages	15
Journal	Infectious Disease Modelling
Volume	2
Issue number	2
DOIs	https://doi.org/10.1016/j.idm.2017.03.001
State	Published - May 2017

Keywords

Branching process
Continuous-time Markov chain
Minor outbreak
Stochastic differential equation

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10.1016/j.idm.2017.03.001

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abstract = "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.",

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AB - 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.

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KW - Stochastic differential equation

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

Abstract

Keywords

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