A note on epidemic models with infective immigrants and vaccination

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

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

Received: 01 April 2005 Accepted: 29 June 2018 Published: 01 May 2006
MSC : 34K18; 92D30.

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.
- epidemic model; vaccination; immigration; SIS; SIR; fold bifurcation.
Citation: Eunha Shim. A note on epidemic models with infective immigrants and vaccination[J]. Mathematical Biosciences and Engineering, 2006, 3(3): 557-566. doi: 10.3934/mbe.2006.3.557

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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.
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