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Mathematical Tools for Understanding Infectious Disease Dynamics$
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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

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Heterogeneity: The art of averaging

Heterogeneity: The art of averaging

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

Odo Diekmann

Hans Heesterbeek

Tom Britton

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691155395.003.0002

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

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