Some simple epidemic models

Fred Brauer; Fred Brauer

doi:10.3934/mbe.2006.3.1

Mathematical Biosciences and Engineering

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: 01 December 2004 Accepted: 29 June 2018 Published: 01 November 2005
MSC : 92D30.

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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Citation: Fred Brauer. Some simple epidemic models[J]. Mathematical Biosciences and Engineering, 2006, 3(1): 1-15. doi: 10.3934/mbe.2006.3.1

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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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