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A note on epidemic models with infective immigrants and vaccination

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

   

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

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

 

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  • 2. Xianning Liu, Yasuhiro Takeuchi, Shingo Iwami, SVIR epidemic models with vaccination strategies, Journal of Theoretical Biology, 2008, 253, 1, 1, 10.1016/j.jtbi.2007.10.014
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