Mathematical model for the analysis of vaccination and vector control on malaria incidence

Objectives:  A model describing malaria behavior through a system of ordinary differential equations. Methods: In order to construct the model, the interaction between man and the malaria vector was taken into account in different infectivity and immunity states. We also considered the vaccination e...

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Autores:
Vásquez Pinzón, Juan U.
Méndez-Sánchez, Stella C.
Duque Luna, Jonny E.
Tipo de recurso:
Article of journal
Fecha de publicación:
2003
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/31800
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/31800
http://bdigital.unal.edu.co/21880/
Palabra clave:
inmunidad
control de mosquitos
Plasmodium falciparum
Immunity
mosquito control
Plasmodium falciparum
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Vásquez Pinzón, Juan U.153268ce-c4c6-45b8-aa83-66c65928b076300Méndez-Sánchez, Stella C.2f79dd8c-81db-43bd-b055-da25fd77c547300Duque Luna, Jonny E.12b8c070-4675-43ae-ac32-c20de46089923002019-06-26T14:47:56Z2019-06-26T14:47:56Z2003https://repositorio.unal.edu.co/handle/unal/31800http://bdigital.unal.edu.co/21880/Objectives:  A model describing malaria behavior through a system of ordinary differential equations. Methods: In order to construct the model, the interaction between man and the malaria vector was taken into account in different infectivity and immunity states. We also considered the vaccination effect by means of an infection blocking vaccine and parameters representing larval and adult vector control. Results: The model developed enables simulation of malaria disease behavior in various settings: in a natural manner without intervention, with either vector control or vaccination, and considering vector control and vaccination together. Conclusions: We obtained numerical conditions for the existence of a non-trivial equilibrium state, conditioned to the existence of a single real positive root of a fourth degree polynomial. This is a problem that remains unsolved.Objetivos: Un modelo describiendo el comportamiento de la malaria mediante un sistema de ecuaciones diferenciales ordinarias. Métodos: Se tuvieron en cuenta para la construcción del modelo, la interacción del hombre con el vector de la Malaria y diferentes estados de infectividad e inmunidad. También se consideraron los estados correspondientes al efecto de vacunación mediante una vacuna bloqueadora de infección y parámetros que representan el control de larvas y adultos del vector. Resultados : El modelo desarrollado permite simular el comportamiento de la enfermedad malárica en diferentes escenarios: en forma natural sin intervención, con control del vector o vacunación y considerando control y vacunación. Conclusiones: Se obtienen numéricamente condiciones para la existencia de un estado de equilibrio no trivial, condicionada a la existencia de una única raíz real positiva de un polinomio de cuarto grado. Este es un problema que queda abierto.application/pdfspaRevista de Salud Públicahttp://revistas.unal.edu.co/index.php/revsaludpublica/article/view/18409Universidad Nacional de Colombia Revistas electrónicas UN Revista de Salud PúblicaRevista de Salud PúblicaJournal of Public Health; Vol. 5, núm. 2 (2003); 172-179 Revista de Salud Pública; Vol. 5, núm. 2 (2003); 172-179 0124-0064Vásquez Pinzón, Juan U. and Méndez-Sánchez, Stella C. and Duque Luna, Jonny E. (2003) Mathematical model for the analysis of vaccination and vector control on malaria incidence. Journal of Public Health; Vol. 5, núm. 2 (2003); 172-179 Revista de Salud Pública; Vol. 5, núm. 2 (2003); 172-179 0124-0064 .Mathematical model for the analysis of vaccination and vector control on malaria incidenceArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTinmunidadcontrol de mosquitosPlasmodium falciparumImmunitymosquito controlPlasmodium falciparumORIGINAL18409-61669-1-PB.pdfapplication/pdf208074https://repositorio.unal.edu.co/bitstream/unal/31800/1/18409-61669-1-PB.pdf7a26bfa08c529c4dbd24d29179b0862aMD51THUMBNAIL18409-61669-1-PB.pdf.jpg18409-61669-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6502https://repositorio.unal.edu.co/bitstream/unal/31800/2/18409-61669-1-PB.pdf.jpg8d635e68c385159c5df9a3a68df79b77MD52unal/31800oai:repositorio.unal.edu.co:unal/318002022-12-03 23:03:06.784Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv Mathematical model for the analysis of vaccination and vector control on malaria incidence
title Mathematical model for the analysis of vaccination and vector control on malaria incidence
spellingShingle Mathematical model for the analysis of vaccination and vector control on malaria incidence
inmunidad
control de mosquitos
Plasmodium falciparum
Immunity
mosquito control
Plasmodium falciparum
title_short Mathematical model for the analysis of vaccination and vector control on malaria incidence
title_full Mathematical model for the analysis of vaccination and vector control on malaria incidence
title_fullStr Mathematical model for the analysis of vaccination and vector control on malaria incidence
title_full_unstemmed Mathematical model for the analysis of vaccination and vector control on malaria incidence
title_sort Mathematical model for the analysis of vaccination and vector control on malaria incidence
dc.creator.fl_str_mv Vásquez Pinzón, Juan U.
Méndez-Sánchez, Stella C.
Duque Luna, Jonny E.
dc.contributor.author.spa.fl_str_mv Vásquez Pinzón, Juan U.
Méndez-Sánchez, Stella C.
Duque Luna, Jonny E.
dc.subject.proposal.spa.fl_str_mv inmunidad
control de mosquitos
Plasmodium falciparum
Immunity
mosquito control
Plasmodium falciparum
topic inmunidad
control de mosquitos
Plasmodium falciparum
Immunity
mosquito control
Plasmodium falciparum
description Objectives:  A model describing malaria behavior through a system of ordinary differential equations. Methods: In order to construct the model, the interaction between man and the malaria vector was taken into account in different infectivity and immunity states. We also considered the vaccination effect by means of an infection blocking vaccine and parameters representing larval and adult vector control. Results: The model developed enables simulation of malaria disease behavior in various settings: in a natural manner without intervention, with either vector control or vaccination, and considering vector control and vaccination together. Conclusions: We obtained numerical conditions for the existence of a non-trivial equilibrium state, conditioned to the existence of a single real positive root of a fourth degree polynomial. This is a problem that remains unsolved.
publishDate 2003
dc.date.issued.spa.fl_str_mv 2003
dc.date.accessioned.spa.fl_str_mv 2019-06-26T14:47:56Z
dc.date.available.spa.fl_str_mv 2019-06-26T14:47:56Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/21880/
url https://repositorio.unal.edu.co/handle/unal/31800
http://bdigital.unal.edu.co/21880/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/revsaludpublica/article/view/18409
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista de Salud Pública
Revista de Salud Pública
dc.relation.ispartofseries.none.fl_str_mv Journal of Public Health; Vol. 5, núm. 2 (2003); 172-179 Revista de Salud Pública; Vol. 5, núm. 2 (2003); 172-179 0124-0064
dc.relation.references.spa.fl_str_mv Vásquez Pinzón, Juan U. and Méndez-Sánchez, Stella C. and Duque Luna, Jonny E. (2003) Mathematical model for the analysis of vaccination and vector control on malaria incidence. Journal of Public Health; Vol. 5, núm. 2 (2003); 172-179 Revista de Salud Pública; Vol. 5, núm. 2 (2003); 172-179 0124-0064 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Revista de Salud Pública
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/31800/1/18409-61669-1-PB.pdf
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repository.name.fl_str_mv Repositorio Institucional Universidad Nacional de Colombia
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