Some simple epidemic models

Fred Brauer

doi:10.3934/mbe.2006.3.1

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2006, Volume 3, Issue 1: 1-15. Doi: 10.3934/mbe.2006.3.1

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Some simple epidemic models

Fred Brauer^1,

1.
Department of Mathematics, University of British Columbia, Vancouver, BC V6T 1Z2

Received: November 30, 2004

Revised: March 31, 2005

Published: October 2005

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Abstract

The SARS epidemic of 2002-3 led to the study of epidemic models including management measures and other generalizations of the original 1927 epidemic model of Kermack and McKendrick. We consider some natural extensions of the Kermack-McKendrick model and show that they share the main properties of the original model.

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Mathematics Subject Classification: 92D30.

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