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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Contact network epidemiology: Bond percolation applied to infectious disease prediction and control
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by Lauren Ancel Meyers PDF
Bull. Amer. Math. Soc. 44 (2007), 63-86 Request permission

Abstract:

Mathematics has long been an important tool in infectious disease epidemiology. I will provide a brief overview of compartmental models, the dominant framework for modeling disease transmission, and then contact network epidemiology, a more powerful approach that applies bond percolation on random graphs to model the spread of infectious disease through heterogeneous populations. I will derive important epidemiological quantities using this approach and provide examples of its application to issues of public health.
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Additional Information
  • Lauren Ancel Meyers
  • Affiliation: Section of Integrative Biology, and Institute for Cellular and Molecular Biology, The University of Texas at Austin, Austin, Texas 78712
  • Email: laurenmeyers@mail.utexas.edu
  • Received by editor(s): July 23, 2006
  • Published electronically: October 17, 2006
  • Additional Notes: This article is based on a lecture presented January 14, 2006, at the AMS Special Session on Current Events, Joint Mathematics Meetings, San Antonio, TX
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Bull. Amer. Math. Soc. 44 (2007), 63-86
  • MSC (2000): Primary 92D30, 92C60, 92B05, 60K35, 82B43
  • DOI: https://doi.org/10.1090/S0273-0979-06-01148-7
  • MathSciNet review: 2265010