The Mathematics of Infectious Diseases

@article{Hethcote2000TheMO,
  title={The Mathematics of Infectious Diseases},
  author={Herbert W. Hethcote},
  journal={SIAM Review},
  year={2000},
  volume={42},
  pages={599-653}
}
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 R0, the contact number σ, and the replacement number R are reviewed for the classic SIR epidemic and endemic models. Similar results with new expressions for R0 are obtained for MSEIR and SEIR endemic models with either continuous age or age groups. Values of R0 and σ are estimated for various diseases… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 170 references

Influence of Heterogeneous Mixing on Measles Transmission in an African Context

  • A. V. Kaninda, S. Richardson, H. W. Hethcote
  • PREPRINT
  • 2000
Highly Influential
20 Excerpts

Hethcote,Modeling the effects of varicella vaccination programs on the incidence of chickenpox and shingles

  • H.W.M.C. Schuette
  • Bull. Math. Biol.,
  • 1999
Highly Influential
8 Excerpts

Viruses

  • M.B.A. Oldstone
  • Plagues, and History, Oxford University Press…
  • 1998
Highly Influential
7 Excerpts

The first epidemic model: A historical note on P

  • K. Dietz
  • D. En’ko, Austral. J. Statist., 30A
  • 1988
Highly Influential
7 Excerpts

Qualitative analyses of communicable disease models

  • H. W. Hethcote
  • Math. Biosci., 28
  • 1976
Highly Influential
10 Excerpts

The Mathematical Theory of Infectious Diseases

  • N.T.J. Bailey
  • 2nd ed., Hafner, New York
  • 1975
Highly Influential
11 Excerpts

Transmission and control of arbovirus diseases

  • K. Dietz
  • Epidemiology, K. L. Cooke, ed., SIAM…
  • 1975
Highly Influential
5 Excerpts

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