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

Linda J.S. Allen

Research output: Contribution to journalArticlepeer-review

54 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 languageEnglish
Pages (from-to)128-142
Number of pages15
JournalInfectious Disease Modelling
Volume2
Issue number2
DOIs
StatePublished - May 2017

Keywords

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

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