A note on epidemic models with infective immigrants and vaccination

Eunha Shim

doi:10.3934/mbe.2006.3.557

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2006, Volume 3, Issue 3: 557-566. Doi: 10.3934/mbe.2006.3.557

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A note on epidemic models with infective immigrants and vaccination

Eunha Shim^1,

1.
Department of Mathematics and Statistics, Arizona State University, P.O. Box 871804, Tempe, AZ 85287-1804

Received: April 2005

Revised: February 2006

Published: May 2006

Abstract / Introduction Related Papers Cited by

Abstract

The roles of immigration and vaccination on disease dynamics are explored in a simple setting that considers the possibility of conferred immunity. We focus on SIR and SIS models with a vaccinated class. Conditions for the existence of multiple endemic steady states and a fold bifurcation are discussed.

Keywords:

epidemic model; vaccination; immigration; SIS; SIR; fold bifurcation.

Mathematics Subject Classification: 34K18; 92D30.

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