The Mathematics of Infectious Diseases

  title={The Mathematics of Infectious Diseases},
  author={H. Hethcote},
  journal={SIAM Rev.},
  • 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

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