A minimal HIV-AIDS infection model with general incidence rate and application to Morocco data
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/26476 |
Resumo: | We study the global dynamics of a SICA infection model with general incidence rate. The proposed model is calibrated with cumulative cases of infection by HIV–AIDS in Morocco from 1986 to 2015. We first prove that our model is biologically and mathematically well-posed. Stability analysis of different steady states is performed and threshold parameters are identified where the model exhibits clearance of infection or maintenance of a chronic infection. Furthermore, we examine the robustness of the model to some parameter values by examining the sensitivity of the basic reproduction number. Finally, using numerical simulations with real data from Morocco, we show that the model predicts well such reality. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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A minimal HIV-AIDS infection model with general incidence rate and application to Morocco dataSICA compartmental modelGeneral incidence functionGlobal stabilityLyapunov functionalsWe study the global dynamics of a SICA infection model with general incidence rate. The proposed model is calibrated with cumulative cases of infection by HIV–AIDS in Morocco from 1986 to 2015. We first prove that our model is biologically and mathematically well-posed. Stability analysis of different steady states is performed and threshold parameters are identified where the model exhibits clearance of infection or maintenance of a chronic infection. Furthermore, we examine the robustness of the model to some parameter values by examining the sensitivity of the basic reproduction number. Finally, using numerical simulations with real data from Morocco, we show that the model predicts well such reality.IAPress2019-09-03T16:40:04Z2019-09-01T00:00:00Z2019-09info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/26476eng2311-004X10.19139/soic-2310-5070-834Lotfi, El MehdiMahrouf, MarouaneMaziane, MehdiSilva, Cristiana J.Torres, Delfim F. M.Yousfi, Nourainfo: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:RCAAP2024-02-22T11:51:16Zoai:ria.ua.pt:10773/26476Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:59:27.511723Repositório 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 |
A minimal HIV-AIDS infection model with general incidence rate and application to Morocco data |
title |
A minimal HIV-AIDS infection model with general incidence rate and application to Morocco data |
spellingShingle |
A minimal HIV-AIDS infection model with general incidence rate and application to Morocco data Lotfi, El Mehdi SICA compartmental model General incidence function Global stability Lyapunov functionals |
title_short |
A minimal HIV-AIDS infection model with general incidence rate and application to Morocco data |
title_full |
A minimal HIV-AIDS infection model with general incidence rate and application to Morocco data |
title_fullStr |
A minimal HIV-AIDS infection model with general incidence rate and application to Morocco data |
title_full_unstemmed |
A minimal HIV-AIDS infection model with general incidence rate and application to Morocco data |
title_sort |
A minimal HIV-AIDS infection model with general incidence rate and application to Morocco data |
author |
Lotfi, El Mehdi |
author_facet |
Lotfi, El Mehdi Mahrouf, Marouane Maziane, Mehdi Silva, Cristiana J. Torres, Delfim F. M. Yousfi, Noura |
author_role |
author |
author2 |
Mahrouf, Marouane Maziane, Mehdi Silva, Cristiana J. Torres, Delfim F. M. Yousfi, Noura |
author2_role |
author author author author author |
dc.contributor.author.fl_str_mv |
Lotfi, El Mehdi Mahrouf, Marouane Maziane, Mehdi Silva, Cristiana J. Torres, Delfim F. M. Yousfi, Noura |
dc.subject.por.fl_str_mv |
SICA compartmental model General incidence function Global stability Lyapunov functionals |
topic |
SICA compartmental model General incidence function Global stability Lyapunov functionals |
description |
We study the global dynamics of a SICA infection model with general incidence rate. The proposed model is calibrated with cumulative cases of infection by HIV–AIDS in Morocco from 1986 to 2015. We first prove that our model is biologically and mathematically well-posed. Stability analysis of different steady states is performed and threshold parameters are identified where the model exhibits clearance of infection or maintenance of a chronic infection. Furthermore, we examine the robustness of the model to some parameter values by examining the sensitivity of the basic reproduction number. Finally, using numerical simulations with real data from Morocco, we show that the model predicts well such reality. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-09-03T16:40:04Z 2019-09-01T00:00:00Z 2019-09 |
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/10773/26476 |
url |
http://hdl.handle.net/10773/26476 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
2311-004X 10.19139/soic-2310-5070-834 |
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 |
IAPress |
publisher.none.fl_str_mv |
IAPress |
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 |
|
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1799137649278058496 |