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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AIMS Press
2007-04-01
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Series: | Mathematical Biosciences and Engineering |
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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 |
id | doaj-art-f31b19f04534482abb76c8262a28e233 |
institution | Kabale University |
issn | 1551-0018 |
language | English |
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 |