A final size relation for epidemic models
Julien Arino
Fred Brauer
P. van den Driessche
James Watmough
Jianhong Wu
*Corresponding author:
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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