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. 2010 Nov 4;6(11):e1000968. doi: 10.1371/journal.pcbi.1000968

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Hill et al.

This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.

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Time series of an epidemic on the Framingham Heart Study network, using full simulations (light blue) or the n-regular pair-wise equations (dark blue). Parameters used are those measured for the obesity epidemic: . In the SISa model there is a co-existence of susceptible and infected individuals at steady state. For these parameters there is a good agreement with simulations and the pair-wise equations for the fraction infected (A), but the equations predict less correlations (B), due to the neglect of heterogeneities in the number of contacts.

Inline graphic — Time series of an epidemic on the Framingham Heart Study network, using full simulations (light blue) or the n-regular pair-wise equations (dark blue). Parameters used are those measured for the obesity epidemic: . In the SISa model there is a co-existence of susceptible and infected individuals at steady state. For these parameters there is a good agreement with simulations and the pair-wise equations for the fraction infected (A), but the equations predict less correlations (B), due to the neglect of heterogeneities in the number of contacts.