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Mathematical Biosciences and Engineering

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

  • 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.

    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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  • 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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  • © 2006 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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