Standard Article

Epidemic Models, Stochastic

  1. J. Gani

Published Online: 15 JUL 2005

DOI: 10.1002/0470011815.b2a07020

Encyclopedia of Biostatistics

Encyclopedia of Biostatistics

How to Cite

Gani, J. 2005. Epidemic Models, Stochastic. Encyclopedia of Biostatistics. 3.

Author Information

  1. Australian National University, Canberra, ACT, Australia

Publication History

  1. Published Online: 15 JUL 2005

Abstract

This article describes the most commonly used stochastic epidemic models. For discrete time, the Greenwood and Reed–Frost chain binomials are outlined, with examples. In continuous time, the simple SI, the general SIR and the carrier-borne CSR models are discussed, and Whittle's Threshold Theorem stated. The article concludes with some references to recent literature.

Keywords:

  • Greenwood and Reed–Frost chain binomials;
  • simple epidemics (SI);
  • general epidemics (SIR);
  • carrier-borne epidemics (CSR);
  • Whittle's Threshold Theorem