Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence

Detalhes bibliográficos
Autor(a) principal: Gomes, M. G. M.
Data de Publicação: 2005
Outros Autores: Margheri, A., Medley, G. F., Rebelo, C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.7/51
Resumo: In this paper we analyze the dynamics of two families of epidemiological models which correspond to transitions from the SIR (susceptible-infectious-resistant) to the SIS (susceptible-infectious-susceptible) frameworks. In these models we assume that the force of infection is a nonlinear function of density of infectious individuals, I. Conditions for the existence of backwards bifurcations, oscillations and Bogdanov-Takens points are given
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spelling Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidenceModels, BiologicalEpidemiology/statistics & numerical dataNonlinear DynamicsModels, ImmunologicalIn this paper we analyze the dynamics of two families of epidemiological models which correspond to transitions from the SIR (susceptible-infectious-resistant) to the SIS (susceptible-infectious-susceptible) frameworks. In these models we assume that the force of infection is a nonlinear function of density of infectious individuals, I. Conditions for the existence of backwards bifurcations, oscillations and Bogdanov-Takens points are givenARCAGomes, M. G. M.Margheri, A.Medley, G. F.Rebelo, C.2009-10-08T14:46:01Z20052005-102009-10-08T14:46:02Z2005-10-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.7/51engGomes MG, Margheri A, Medley GF, Rebelo C.(2005)."Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence".Journal of mathematical biology1432-1416info: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:RCAAP2022-11-29T14:34:35Zoai:arca.igc.gulbenkian.pt:10400.7/51Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T16:11:32.971579Repositório 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 Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
title Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
spellingShingle Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
Gomes, M. G. M.
Models, Biological
Epidemiology/statistics & numerical data
Nonlinear Dynamics
Models, Immunological
title_short Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
title_full Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
title_fullStr Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
title_full_unstemmed Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
title_sort Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence
author Gomes, M. G. M.
author_facet Gomes, M. G. M.
Margheri, A.
Medley, G. F.
Rebelo, C.
author_role author
author2 Margheri, A.
Medley, G. F.
Rebelo, C.
author2_role author
author
author
dc.contributor.none.fl_str_mv ARCA
dc.contributor.author.fl_str_mv Gomes, M. G. M.
Margheri, A.
Medley, G. F.
Rebelo, C.
dc.subject.por.fl_str_mv Models, Biological
Epidemiology/statistics & numerical data
Nonlinear Dynamics
Models, Immunological
topic Models, Biological
Epidemiology/statistics & numerical data
Nonlinear Dynamics
Models, Immunological
description In this paper we analyze the dynamics of two families of epidemiological models which correspond to transitions from the SIR (susceptible-infectious-resistant) to the SIS (susceptible-infectious-susceptible) frameworks. In these models we assume that the force of infection is a nonlinear function of density of infectious individuals, I. Conditions for the existence of backwards bifurcations, oscillations and Bogdanov-Takens points are given
publishDate 2005
dc.date.none.fl_str_mv 2005
2005-10
2005-10-01T00:00:00Z
2009-10-08T14:46:01Z
2009-10-08T14:46:02Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.7/51
url http://hdl.handle.net/10400.7/51
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Gomes MG, Margheri A, Medley GF, Rebelo C.(2005)."Dynamical behaviour of epidemiological models with sub-optimal immunity and nonlinear incidence".Journal of mathematical biology
1432-1416
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)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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