Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effects

Detalhes bibliográficos
Autor(a) principal: Rachah, Amira
Data de Publicação: 2018
Outros Autores: Torres, Delfim F. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/24524
Resumo: Ebola virus is one of the most virulent pathogens for humans. We present a mathematical description of different Susceptible-Exposed-Infectious-Recovered (SEIR) models. By using mathematical modeling and analysis, the latest major outbreak of Ebola virus in West Africa is described. Our aim is to study and discuss the properties of SEIR models with respect to Ebola virus, the information they provide, and when the models make sense. We added to the basic SEIR model demographic effects in order to analyze the equilibria with vital dynamics. Numerical simulations confirm the theoretical analysis. The control of the propagation of the virus through vaccination is investigated and the case study of Liberia is discussed in detail.
id RCAP_535abf4223542cd3a06fff3850a79862
oai_identifier_str oai:ria.ua.pt:10773/24524
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effectsSEIR modelsEbolaDemographic effectsVital dynamicsInduced death ratesEquilibriaOptimal controlVaccinationLiberiaEbola virus is one of the most virulent pathogens for humans. We present a mathematical description of different Susceptible-Exposed-Infectious-Recovered (SEIR) models. By using mathematical modeling and analysis, the latest major outbreak of Ebola virus in West Africa is described. Our aim is to study and discuss the properties of SEIR models with respect to Ebola virus, the information they provide, and when the models make sense. We added to the basic SEIR model demographic effects in order to analyze the equilibria with vital dynamics. Numerical simulations confirm the theoretical analysis. The control of the propagation of the virus through vaccination is investigated and the case study of Liberia is discussed in detail.University of Ankara2018-10-30T16:19:18Z2018-01-01T00:00:00Z2018info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/24524eng1303-599110.1501/Commua1_0000000841Rachah, AmiraTorres, Delfim F. M.info: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:RCAAP2024-02-22T11:47:47Zoai:ria.ua.pt:10773/24524Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:58:02.644921Repositório 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 Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effects
title Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effects
spellingShingle Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effects
Rachah, Amira
SEIR models
Ebola
Demographic effects
Vital dynamics
Induced death rates
Equilibria
Optimal control
Vaccination
Liberia
title_short Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effects
title_full Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effects
title_fullStr Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effects
title_full_unstemmed Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effects
title_sort Analysis, simulation and optimal control of a SEIR model for Ebola virus with demographic effects
author Rachah, Amira
author_facet Rachah, Amira
Torres, Delfim F. M.
author_role author
author2 Torres, Delfim F. M.
author2_role author
dc.contributor.author.fl_str_mv Rachah, Amira
Torres, Delfim F. M.
dc.subject.por.fl_str_mv SEIR models
Ebola
Demographic effects
Vital dynamics
Induced death rates
Equilibria
Optimal control
Vaccination
Liberia
topic SEIR models
Ebola
Demographic effects
Vital dynamics
Induced death rates
Equilibria
Optimal control
Vaccination
Liberia
description Ebola virus is one of the most virulent pathogens for humans. We present a mathematical description of different Susceptible-Exposed-Infectious-Recovered (SEIR) models. By using mathematical modeling and analysis, the latest major outbreak of Ebola virus in West Africa is described. Our aim is to study and discuss the properties of SEIR models with respect to Ebola virus, the information they provide, and when the models make sense. We added to the basic SEIR model demographic effects in order to analyze the equilibria with vital dynamics. Numerical simulations confirm the theoretical analysis. The control of the propagation of the virus through vaccination is investigated and the case study of Liberia is discussed in detail.
publishDate 2018
dc.date.none.fl_str_mv 2018-10-30T16:19:18Z
2018-01-01T00:00:00Z
2018
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/10773/24524
url http://hdl.handle.net/10773/24524
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1303-5991
10.1501/Commua1_0000000841
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.publisher.none.fl_str_mv University of Ankara
publisher.none.fl_str_mv University of Ankara
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
instacron_str RCAAP
institution RCAAP
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
repository.mail.fl_str_mv
_version_ 1799137634784641024

Registros relacionados