American Institute of Mathematical Sciences

Advanced
2006, 3(1): 1-15. doi: 10.3934/mbe.2006.3.1

Some simple epidemic models

Fred Brauer 1,

1. 

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

Received  December 2004 Revised  April 2005 Published  November 2005

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.
Keywords: Kermack-McKendrick, vaccination., epidemic models.
Mathematics Subject Classification: 92D3.
Citation: Fred Brauer. Some simple epidemic models. Mathematical Biosciences & Engineering, 2006, 3 (1) : 1-15. doi: 10.3934/mbe.2006.3.1
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