Hostname: page-component-5c6d5d7d68-vt8vv Total loading time: 0.001 Render date: 2024-08-07T09:20:36.396Z Has data issue: false hasContentIssue false
  • English
  • Français

On critical vaccination coverage in multitype epidemics

Published online by Cambridge University Press:  14 July 2016

Tom Britton
Tom Britton*
Affiliation:
Uppsala University
*
∗Postal address: Department of Mathematics, Uppsala University, Box 480, S-751 06 Uppsala, Sweden. Email address: tom.britton@math.uu.se
Get access Rights & Permissions [Opens in a new window]

Abstract

Consider an epidemic outbreak in a large population resulting in an overall proportion infected p~. The proportion needed to be vaccinated in order to prevent the epidemic, the critical vaccination coverage vc, depends on individual and social heterogeneities in the population. In the present note it is shown that vc is larger if, as is likely, individuals differ in terms of susceptibility than if they are equally susceptible.

Keywords

Multitype epidemicssusceptibilitybasic reproduction numbercritical vaccination coverage

MSC classification

Primary: 92D30: Epidemiology
Type
Short Communications
Information
Journal of Applied Probability , Volume 35 , Issue 4 , December 1998 , pp. 1003 - 1006
Copyright
Copyright © Applied Probability Trust 1998 

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

Andersson, H., and Britton, T. (1998). Heterogeneity in epidemic models and its effect on the spread of infection. J. Appl. Prob. 35, 651–661.Google Scholar
Ball, F. G. (1985). Deterministic and stochastic epidemics with several kinds of susceptibles. Adv. Appl. Prob. 17, 1–22.Google Scholar
Ball, F. G., Mollison, D., and Scalia-Tomba, G. (1997). Epidemics with two levels of mixing. Ann. Appl. Prob. 7, 46–89.CrossRefGoogle Scholar
Becker, N. G., and Utev, S. (1998). The effect of community structure on the immunity coverage required to prevent epidemics. Math. Biosci. 147, 23–39.Google Scholar