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Collective epidemic models

par Lefèvre, Claude ;Picard, Philippe
Référence Mathematical biosciences, 134, 1, page (51-70)
Publication Publié, 1996-05

Article révisé par les pairs

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Résumé :

A number of models have been proposed to describe the spread of infectious diseases of the S-I-R type. Most of them account for variable infectivity levels, and very few incorporate variable susceptibility levels. In the present work, a new epidemic model, called a collective model, is constructed that combines both variabilities in a general way. It is then established how to determine the exact distribution of the final state and the severity of the epidemic when the infection process stops.