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A final size relation for epidemic models

Julien Arino Fred Brauer P. van den Driessche James Watmough Jianhong Wu

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MBE2007,2,159doi:10.3934/mbe.2007.4.159

A final size relation is derived for a general class of epidemic models, including models with multiple susceptible classes. The derivation depends on an explicit formula for the basic reproduction number of a general class of disease transmission models, which is extended to calculate the basic reproduction number in models with vertical transmission. Applications are given to specific models for influenza and SARS.

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Article ID   1551-0018_2007_2_159
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