The Mathematics of Infectious Diseases
Abstract
Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number R_{0} the contact number \sigma and the replacement number R are reviewed for the classic SIR epidemic and endemic models. Similar results with new expressions for R_{0}are obtained for MSEIR and SEIR endemic models with either continuous age or...
Paper Details
Title
The Mathematics of Infectious Diseases
Published Date
Jan 1, 2000
Journal
Volume
42
Issue
4
Pages
599 - 653
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