American Institute of Mathematical Sciences

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2006, 3(3): 557-566. doi: 10.3934/mbe.2006.3.557

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, United States

Received  April 2005 Revised  February 2006 Published  May 2006

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; 92D3.
Citation: Eunha Shim. A note on epidemic models with infective immigrants and vaccination. Mathematical Biosciences & Engineering, 2006, 3 (3) : 557-566. doi: 10.3934/mbe.2006.3.557
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