The reinfection threshold

Detalhes bibliográficos
Autor(a) principal: Gomes, M. G. M.
Data de Publicação: 2005
Outros Autores: White, L. J., Medley, G. F.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.7/52
Resumo: Thresholds in transmission are responsible for critical changes in infectious disease epidemiology. The epidemic threshold indicates whether infection invades a totally susceptible population. The reinfection threshold indicates whether self-sustained transmission occurs in a population that has developed a degree of partial immunity to the pathogen (by previous infection or vaccination). In models that combine susceptible and partially immune individuals, the reinfection threshold is technically not a bifurcation of equilibria as correctly pointed out by Breban and Blower. However, we show that a branch of equilibria to a reinfection submodel bifurcates from the disease-free equilibrium as transmission crosses this threshold. Consequently, the full model indicates that levels of infection increase by two orders of magnitude and the effect of mass vaccination becomes negligible as transmission increases across the reinfection threshold. (c) 2005 Elsevier Ltd. All rights reserved
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spelling The reinfection thresholdepidemiological modelpartial immunityThresholds in transmission are responsible for critical changes in infectious disease epidemiology. The epidemic threshold indicates whether infection invades a totally susceptible population. The reinfection threshold indicates whether self-sustained transmission occurs in a population that has developed a degree of partial immunity to the pathogen (by previous infection or vaccination). In models that combine susceptible and partially immune individuals, the reinfection threshold is technically not a bifurcation of equilibria as correctly pointed out by Breban and Blower. However, we show that a branch of equilibria to a reinfection submodel bifurcates from the disease-free equilibrium as transmission crosses this threshold. Consequently, the full model indicates that levels of infection increase by two orders of magnitude and the effect of mass vaccination becomes negligible as transmission increases across the reinfection threshold. (c) 2005 Elsevier Ltd. All rights reservedARCAGomes, M. G. M.White, L. J.Medley, G. F.2009-10-08T14:48:32Z20052005-092009-10-08T14:48:33Z2005-09-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.7/52engGomes, M.G., White, L.J., Medley, G.F.(2005)."The reinfection threshold". Journal of theoretical biology. 236(1):111-30022-5193info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-11-29T14:34:36Zoai:arca.igc.gulbenkian.pt:10400.7/52Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:11:33.015789Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv The reinfection threshold
title The reinfection threshold
spellingShingle The reinfection threshold
Gomes, M. G. M.
epidemiological model
partial immunity
title_short The reinfection threshold
title_full The reinfection threshold
title_fullStr The reinfection threshold
title_full_unstemmed The reinfection threshold
title_sort The reinfection threshold
author Gomes, M. G. M.
author_facet Gomes, M. G. M.
White, L. J.
Medley, G. F.
author_role author
author2 White, L. J.
Medley, G. F.
author2_role author
author
dc.contributor.none.fl_str_mv ARCA
dc.contributor.author.fl_str_mv Gomes, M. G. M.
White, L. J.
Medley, G. F.
dc.subject.por.fl_str_mv epidemiological model
partial immunity
topic epidemiological model
partial immunity
description Thresholds in transmission are responsible for critical changes in infectious disease epidemiology. The epidemic threshold indicates whether infection invades a totally susceptible population. The reinfection threshold indicates whether self-sustained transmission occurs in a population that has developed a degree of partial immunity to the pathogen (by previous infection or vaccination). In models that combine susceptible and partially immune individuals, the reinfection threshold is technically not a bifurcation of equilibria as correctly pointed out by Breban and Blower. However, we show that a branch of equilibria to a reinfection submodel bifurcates from the disease-free equilibrium as transmission crosses this threshold. Consequently, the full model indicates that levels of infection increase by two orders of magnitude and the effect of mass vaccination becomes negligible as transmission increases across the reinfection threshold. (c) 2005 Elsevier Ltd. All rights reserved
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-09
2005-09-01T00:00:00Z
2009-10-08T14:48:32Z
2009-10-08T14:48:33Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.7/52
url http://hdl.handle.net/10400.7/52
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Gomes, M.G., White, L.J., Medley, G.F.(2005)."The reinfection threshold". Journal of theoretical biology. 236(1):111-3
0022-5193
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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