期刊
MATHEMATICAL BIOSCIENCES AND ENGINEERING
卷 4, 期 2, 页码 159-175出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/mbe.2007.4.159
关键词
epidemic models; basic reproduction number; final size relation; vertical transmission
A final size relation is derived for a general class of epidemic mode ls, 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 reprod uction number in models with vertical transmission. Applications are given to specific models for influenza and SARS.
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