Resistance mechanisms matter in SIR models

We compare four SIR-style modelsdescribing behavioral or immunological disease resistance thatmay be both partial and temporaryin parameter regions feasible for interpandemic influenza.For the models studied, backward bifurcations andbistability may occur in contexts where resistance isdue to behavi...

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Main Authors: Timothy C. Reluga, Jan Medlock
Format: Article
Language:English
Published: AIMS Press 2007-04-01
Series:Mathematical Biosciences and Engineering
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.553
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author Timothy C. Reluga
Jan Medlock
author_facet Timothy C. Reluga
Jan Medlock
author_sort Timothy C. Reluga
collection DOAJ
description We compare four SIR-style modelsdescribing behavioral or immunological disease resistance thatmay be both partial and temporaryin parameter regions feasible for interpandemic influenza.For the models studied, backward bifurcations andbistability may occur in contexts where resistance isdue to behavior change, but they do not occur when resistanceoriginates from an immune response. Care must be exercisedto ensure that modeling assumptions about resistance areconsistent with the biological mechanisms under study.
format Article
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institution Kabale University
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publishDate 2007-04-01
publisher AIMS Press
record_format Article
series Mathematical Biosciences and Engineering
spelling doaj-art-f31b19f04534482abb76c8262a28e2332025-01-24T01:53:49ZengAIMS PressMathematical Biosciences and Engineering1551-00182007-04-014355356310.3934/mbe.2007.4.553Resistance mechanisms matter in SIR modelsTimothy C. Reluga0Jan Medlock1Theoretical Biology and Biophysics Group, Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545Theoretical Biology and Biophysics Group, Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545We compare four SIR-style modelsdescribing behavioral or immunological disease resistance thatmay be both partial and temporaryin parameter regions feasible for interpandemic influenza.For the models studied, backward bifurcations andbistability may occur in contexts where resistance isdue to behavior change, but they do not occur when resistanceoriginates from an immune response. Care must be exercisedto ensure that modeling assumptions about resistance areconsistent with the biological mechanisms under study.https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.553immunological resistanceimmunityresistance bookkeeping.behavioral resistance
spellingShingle Timothy C. Reluga
Jan Medlock
Resistance mechanisms matter in SIR models
Mathematical Biosciences and Engineering
immunological resistance
immunity
resistance bookkeeping.
behavioral resistance
title Resistance mechanisms matter in SIR models
title_full Resistance mechanisms matter in SIR models
title_fullStr Resistance mechanisms matter in SIR models
title_full_unstemmed Resistance mechanisms matter in SIR models
title_short Resistance mechanisms matter in SIR models
title_sort resistance mechanisms matter in sir models
topic immunological resistance
immunity
resistance bookkeeping.
behavioral resistance
url https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.553
work_keys_str_mv AT timothycreluga resistancemechanismsmatterinsirmodels
AT janmedlock resistancemechanismsmatterinsirmodels