# The Mathematics of Infectious Diseases

@article{Hethcote2000TheMO,
title={The Mathematics of Infectious Diseases},
author={H. Hethcote},
journal={SIAM Rev.},
year={2000},
volume={42},
pages={599-653}
}
• H. Hethcote
• Published 2000
• Computer Science, Mathematics
• SIAM Rev.
• 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 age groups. Values of $R_{0}$ and $\sigma$ are… CONTINUE READING