Hostname: page-component-76fb5796d-wq484 Total loading time: 0 Render date: 2024-04-28T10:26:37.377Z Has data issue: false hasContentIssue false
  • English
  • Français

Carrier-borne epidemics in a community consisting of different groups

Published online by Cambridge University Press:  14 July 2016

Niels Becker
Niels Becker*
Affiliation:
La Trobe University, Bundoora, Australia
Get access Rights & Permissions [Opens in a new window]

Abstract

A model for the spread of a carrier-borne disease is considered which allows for individual variability. The solutions are used to study the effect of relaxing the assumption of ‘homogeneous mixing’. It is shown that the mean size of an epidemic outbreak is a minimum when the individuals are homogeneous.

Keywords

EPIDEMIC MODELSCARRIER-BORNE EPIDEMICSVARYING INFECTION RATESSPREAD OF DISEASES TO DIFFERENT GROUPS
Type
Research Papers
Information
Journal of Applied Probability , Volume 10 , Issue 3 , September 1973 , pp. 491 - 501
Copyright
Copyright © Applied Probability Trust 1973 

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

Becker, N. G. (1970a) A stochastic model for two interacting populations. J. Appl. Prob. 7, 544–564.Google Scholar
Becker, N. G. (1970b) Mathematical Models in Epidemiology and Related Fields. . University of Sheffield.Google Scholar
Becker, N. G. (1973) Interaction between species: Some comparisons between deterministic and stochastic mo els. Rocky Mountain J. Mathematics 3, 53–68.Google Scholar
Dietz, K. and Downton, F. (1968) Carrier-borne epidemics with immigration. I — Immigration of both susceptibles and carriers. J. Appl. Prob. 5, 31–42.Google Scholar
Weiss, G. H. (1965) On the spread of epidemics by carriers. Biometrics 21, 481–490.Google Scholar