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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- 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: firstname.lastname@example.org
- 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