The Mathematics of Infectious Diseases
نویسنده
چکیده
hIany nlodels for the spread of ilifectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number Ro, the contact number 0 , and the replacement number R are reviewed for tlie classic SIR epidemic and endemic models. Similar results with new expressions for Ro are obtained for I'vISEIR and SEIR endemic models witli eitlier continuous age or age groups. Values of Ro and a are estimated for various diseases ilicluding measles in Niger and pertussis in the United States. Previous models with age structure, heterogeneity, and spatial structure are surveyed.
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عنوان ژورنال:
- SIAM Review
دوره 42 شماره
صفحات -
تاریخ انتشار 2000