Multi-patch and multi-group model for the transmission of the malaria

Malaria is a potentially fatal disease which is caused for parasites transmitted to humans by the bite of female infected mosquitoes of the anopheles gender. Analyzing the effect of mobility and the fact that there are individuals who respond differently to the disease can contribute to the planning...

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Autores:
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad Pedagógica y Tecnológica de Colombia
Repositorio:
RiUPTC: Repositorio Institucional UPTC
Idioma:
spa
OAI Identifier:
oai:repositorio.uptc.edu.co:001/15283
Acceso en línea:
https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10433
https://repositorio.uptc.edu.co/handle/001/15283
Palabra clave:
Análisis cualitativo, malaria, modelo multigrupo, modelo multiparche
Matemáticas Aplicadas
Qualitative analysis, malaria, multi-group model, multi-patch model
Applied mathematics
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License
Derechos de autor 2020 CIENCIA EN DESARROLLO
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network_name_str RiUPTC: Repositorio Institucional UPTC
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spelling 2020-03-252024-07-08T14:23:58Z2024-07-08T14:23:58Zhttps://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/1043310.19053/01217488.v11.n1.2020.10433https://repositorio.uptc.edu.co/handle/001/15283Malaria is a potentially fatal disease which is caused for parasites transmitted to humans by the bite of female infected mosquitoes of the anopheles gender. Analyzing the effect of mobility and the fact that there are individuals who respond differently to the disease can contribute to the planning of strategies to prevent the spread. In view of the above, it is proposed to study the dynamics of malaria considering that individuals belong to a specific group and are distributed in disjoint plots that are connected in some way. For this, a multipatch and multigroup model is proposed using the Ross-Macdonald model as a basis, in which mobility is incorporated from the Lagrangian approach where all individuals belong to a specific group but spend part of their time in an arbitrary number of patches. The qualitative analysis is performed based on the basic reproductive number and the results showed that the mobility and dividing the population of humans and mosquitoes into groups changing the dynamics of the disease.La malaria es una enfermedad potencialmente mortal causada por parásitos transmitidos a los humanos por la picadura de mosquitos hembra infectados del género anopheles. Analizar el efecto de la movilidad y el hecho de que existen individuos que responden de manera diferente a la enfermedad puede aportar en la planeación de estrategias para evitar la propagación. Teniendo en cuenta lo anterior se propone estudiar la dinámica de la malaria considerando que los individuos pertenecen a un grupo determinado y se distribuyen en parcelas disyuntas que están conectadas de algún modo. Para esto, se plantea un modelo multiparche y multigrupo utilizando como base el modelo de Ross-Macdonald, en el cual se incorpora la movilidad desde el enfoque lagrangiano donde todos los individuos pertenecen a un grupo específico pero pasan parte de su tiempo en un número arbitrario de parches. El análisis cualitativo se realiza con base en el número reproductivo básico dando como resultado que la movilidad de las poblaciones de humanos y mosquitos divididas en grupos cambia la dinámica de la enfermedad.application/pdfspaspaUniversidad Pedagógica y Tecnológica de Colombiahttps://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10433/9946Derechos de autor 2020 CIENCIA EN DESARROLLOhttp://purl.org/coar/access_right/c_abf2Ciencia En Desarrollo; Vol. 11 No. 1 (2020): Vol 11, Núm.1 (2020): Enero-Junio; 49-61Ciencia en Desarrollo; Vol. 11 Núm. 1 (2020): Vol 11, Núm.1 (2020): Enero-Junio; 49-612462-76580121-7488Análisis cualitativo, malaria, modelo multigrupo, modelo multiparcheMatemáticas AplicadasQualitative analysis, malaria, multi-group model, multi-patch modelApplied mathematicsMulti-patch and multi-group model for the transmission of the malariaModelo multiparche y multigrupo para la transmisión de la malariainfo:eu-repo/semantics/articlehttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1Gómez Hernández, Enith AmandaIbargüen Mondragón, EduardoSalazar Jurado, Edwin HernandoPrieto Moreno, Kernel Enrique001/15283oai:repositorio.uptc.edu.co:001/152832025-07-18 10:56:40.215metadata.onlyhttps://repositorio.uptc.edu.coRepositorio Institucional UPTCrepositorio.uptc@uptc.edu.co
dc.title.en-US.fl_str_mv Multi-patch and multi-group model for the transmission of the malaria
dc.title.es-ES.fl_str_mv Modelo multiparche y multigrupo para la transmisión de la malaria
title Multi-patch and multi-group model for the transmission of the malaria
spellingShingle Multi-patch and multi-group model for the transmission of the malaria
Análisis cualitativo, malaria, modelo multigrupo, modelo multiparche
Matemáticas Aplicadas
Qualitative analysis, malaria, multi-group model, multi-patch model
Applied mathematics
title_short Multi-patch and multi-group model for the transmission of the malaria
title_full Multi-patch and multi-group model for the transmission of the malaria
title_fullStr Multi-patch and multi-group model for the transmission of the malaria
title_full_unstemmed Multi-patch and multi-group model for the transmission of the malaria
title_sort Multi-patch and multi-group model for the transmission of the malaria
dc.subject.es-ES.fl_str_mv Análisis cualitativo, malaria, modelo multigrupo, modelo multiparche
Matemáticas Aplicadas
topic Análisis cualitativo, malaria, modelo multigrupo, modelo multiparche
Matemáticas Aplicadas
Qualitative analysis, malaria, multi-group model, multi-patch model
Applied mathematics
dc.subject.en-US.fl_str_mv Qualitative analysis, malaria, multi-group model, multi-patch model
Applied mathematics
description Malaria is a potentially fatal disease which is caused for parasites transmitted to humans by the bite of female infected mosquitoes of the anopheles gender. Analyzing the effect of mobility and the fact that there are individuals who respond differently to the disease can contribute to the planning of strategies to prevent the spread. In view of the above, it is proposed to study the dynamics of malaria considering that individuals belong to a specific group and are distributed in disjoint plots that are connected in some way. For this, a multipatch and multigroup model is proposed using the Ross-Macdonald model as a basis, in which mobility is incorporated from the Lagrangian approach where all individuals belong to a specific group but spend part of their time in an arbitrary number of patches. The qualitative analysis is performed based on the basic reproductive number and the results showed that the mobility and dividing the population of humans and mosquitoes into groups changing the dynamics of the disease.
publishDate 2020
dc.date.accessioned.none.fl_str_mv 2024-07-08T14:23:58Z
dc.date.available.none.fl_str_mv 2024-07-08T14:23:58Z
dc.date.none.fl_str_mv 2020-03-25
dc.type.none.fl_str_mv info:eu-repo/semantics/article
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_2df8fbb1
dc.identifier.none.fl_str_mv https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10433
10.19053/01217488.v11.n1.2020.10433
dc.identifier.uri.none.fl_str_mv https://repositorio.uptc.edu.co/handle/001/15283
url https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10433
https://repositorio.uptc.edu.co/handle/001/15283
identifier_str_mv 10.19053/01217488.v11.n1.2020.10433
dc.language.none.fl_str_mv spa
dc.language.iso.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10433/9946
dc.rights.es-ES.fl_str_mv Derechos de autor 2020 CIENCIA EN DESARROLLO
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
rights_invalid_str_mv Derechos de autor 2020 CIENCIA EN DESARROLLO
http://purl.org/coar/access_right/c_abf2
dc.format.none.fl_str_mv application/pdf
dc.publisher.es-ES.fl_str_mv Universidad Pedagógica y Tecnológica de Colombia
dc.source.en-US.fl_str_mv Ciencia En Desarrollo; Vol. 11 No. 1 (2020): Vol 11, Núm.1 (2020): Enero-Junio; 49-61
dc.source.es-ES.fl_str_mv Ciencia en Desarrollo; Vol. 11 Núm. 1 (2020): Vol 11, Núm.1 (2020): Enero-Junio; 49-61
dc.source.none.fl_str_mv 2462-7658
0121-7488
institution Universidad Pedagógica y Tecnológica de Colombia
repository.name.fl_str_mv Repositorio Institucional UPTC
repository.mail.fl_str_mv repositorio.uptc@uptc.edu.co
_version_ 1839633851886862336

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