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Contact network epidemiology: Bond percolation applied to infectious disease prediction and control
Author(s):
Lauren
Ancel
Meyers
Journal:
Bull. Amer. Math. Soc.
44
(2007),
63-86.
MSC (2000):
Primary 92D30, 92C60, 92B05, 60K35, 82B43
Posted:
October 17, 2006
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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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with MSC
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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
DOI:
10.1090/S0273-0979-06-01148-7
PII:
S 0273-0979(06)01148-7
Received by editor(s):
July 23, 2006
Posted:
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 of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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