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Approximate disease dynamics in household-structured populations.


ABSTRACT: We argue that the large-dimensional dynamical systems which frequently occur in biological models can sometimes be effectively reduced to much smaller ones. We illustrate this by applying projection operator techniques to a mean-field model of an infectious disease spreading through a population of households. In this way, we are able to accurately approximate the dynamics of the system in terms of a few key quantities greatly reducing the number of equations required. We investigate linear stability in this framework and find a new way of calculating the familiar threshold criterion for household systems.

SUBMITTER: Dodd PJ 

PROVIDER: S-EPMC2396205 | biostudies-literature | 2007 Dec

REPOSITORIES: biostudies-literature

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Approximate disease dynamics in household-structured populations.

Dodd P J PJ   Ferguson N M NM  

Journal of the Royal Society, Interface 20071201 17


We argue that the large-dimensional dynamical systems which frequently occur in biological models can sometimes be effectively reduced to much smaller ones. We illustrate this by applying projection operator techniques to a mean-field model of an infectious disease spreading through a population of households. In this way, we are able to accurately approximate the dynamics of the system in terms of a few key quantities greatly reducing the number of equations required. We investigate linear stab  ...[more]

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