Resistance mechanisms matter in SIR models

  • Received: 01 January 2007 Accepted: 29 June 2018 Published: 01 May 2007
  • MSC : 92D25.

  • We compare four SIR-style models describing behavioral or immunological disease resistance that may be both partial and temporary in parameter regions feasible for interpandemic influenza. For the models studied, backward bifurcations and bistability may occur in contexts where resistance is due to behavior change, but they do not occur when resistance originates from an immune response. Care must be exercised to ensure that modeling assumptions about resistance are consistent with the biological mechanisms under study.

    Citation: Timothy C. Reluga, Jan Medlock. Resistance mechanisms matter in SIR models[J]. Mathematical Biosciences and Engineering, 2007, 4(3): 553-563. doi: 10.3934/mbe.2007.4.553

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  • We compare four SIR-style models describing behavioral or immunological disease resistance that may be both partial and temporary in parameter regions feasible for interpandemic influenza. For the models studied, backward bifurcations and bistability may occur in contexts where resistance is due to behavior change, but they do not occur when resistance originates from an immune response. Care must be exercised to ensure that modeling assumptions about resistance are consistent with the biological mechanisms under study.


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  • © 2007 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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