Jump to ContentJump to Main Navigation
Mathematical Tools for Understanding Infectious Disease Dynamics$
Users without a subscription are not able to see the full content.

Odo Diekmann, Hans Heesterbeek, and Tom Britton

Print publication date: 2012

Print ISBN-13: 9780691155395

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691155395.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 18 May 2022

Heterogeneity: The art of averaging

Heterogeneity: The art of averaging

(p.33) Chapter Two Heterogeneity: The art of averaging
Mathematical Tools for Understanding Infectious Disease Dynamics

Odo Diekmann

Hans Heesterbeek

Tom Britton

Princeton University Press

This chapter first considers the case when individuals differ only in infectivity, which means that one can in a sense, simply work with the “average” individual. It then exposes a crucial, but hitherto hidden, assumption, namely that the contact process is uniform. If, in contrast, the population is represented by a spatial lattice or a social network, with contact restricted to sets of neighbors (partners, acquaintances, etc.), then all neighbors of a certain individual will experience the actual infectious pressure exercised by this particular individual, and not some kind of average. The chapter goes on to illustrate the key influence of dependence in experienced infectivity.

Keywords:   infectious disease, infectivity, susceptibility, dependence

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.