Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-28T06:55:07.610Z Has data issue: false hasContentIssue false
  • English
  • Français

Mean duration time for a general epidemic process

Published online by Cambridge University Press:  14 July 2016

Billard Gladstien
Billard Gladstien*
Affiliation:
Florida State University
Get access Rights & Permissions [Opens in a new window]

Abstract

A general epidemic process is said to be completed whenever the number of susceptibles or the number of infectives reduces to zero. The mean duration time for this process to be completed is derived.

Keywords

MEAN DURATION TIMESTOCHÀSTIC GENERAL EPIDEMIC PROCESS
Type
Research Papers
Information
Journal of Applied Probability , Volume 14 , Issue 2 , June 1977 , pp. 232 - 240
Copyright
Copyright © Applied Probability Trust 1977 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Bailey, N. T. J. (1975) The Mathematical Theory of Infectious Diseases, 2nd ed. Griffin, London.Google Scholar
Keilson, J. (1974a) Sojourn times, exit times and jitter in multivariate Markov processes. Adv. Appl. Prob. 6, 747–756.CrossRefGoogle Scholar
Keilson, J. (1974b) Markov chain models — rarity and exponentiality. University of Rochester, Center for System Science Report No. 74–01.Google Scholar
Ridler-Rowe, C. J. (1967) On a stochastic model of an epidemic. J. Appl. Prob. 4, 19–33.CrossRefGoogle Scholar