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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| Format: | Online |
| Language: | spa |
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Universidad Pedagógica y Tecnológica de Colombia
2020
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| Online Access: | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10433 |
| _version_ | 1801706334216781824 |
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| author | Gómez Hernández, Enith Amanda Ibargüen Mondragón, Eduardo Salazar Jurado, Edwin Hernando Prieto Moreno, Kernel Enrique |
| author_facet | Gómez Hernández, Enith Amanda Ibargüen Mondragón, Eduardo Salazar Jurado, Edwin Hernando Prieto Moreno, Kernel Enrique |
| author_sort | Gómez Hernández, Enith Amanda |
| collection | OJS |
| 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. |
| format | Online |
| id | oai:oai.revistas.uptc.edu.co:article-10433 |
| institution | Revista Ciencia en Desarrollo |
| language | spa |
| publishDate | 2020 |
| publisher | Universidad Pedagógica y Tecnológica de Colombia |
| record_format | ojs |
| spelling | oai:oai.revistas.uptc.edu.co:article-104332021-02-03T17:14:11Z Multi-patch and multi-group model for the transmission of the malaria Modelo multiparche y multigrupo para la transmisión de la malaria Gómez Hernández, Enith Amanda Ibargüen Mondragón, Eduardo Salazar Jurado, Edwin Hernando Prieto Moreno, Kernel Enrique Análisis cualitativo, malaria, modelo multigrupo, modelo multiparche Matemáticas Aplicadas Qualitative analysis, malaria, multi-group model, multi-patch model Applied mathematics 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. 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. Universidad Pedagógica y Tecnológica de Colombia 2020-03-25 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10433 10.19053/01217488.v11.n1.2020.10433 Ciencia En Desarrollo; Vol. 11 No. 1 (2020): Vol 11, Núm.1 (2020): Enero-Junio; 49-61 Ciencia en Desarrollo; Vol. 11 Núm. 1 (2020): Vol 11, Núm.1 (2020): Enero-Junio; 49-61 2462-7658 0121-7488 spa https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10433/9946 Derechos de autor 2020 CIENCIA EN DESARROLLO |
| spellingShingle | Análisis cualitativo, malaria, modelo multigrupo, modelo multiparche Matemáticas Aplicadas Qualitative analysis, malaria, multi-group model, multi-patch model Applied mathematics Gómez Hernández, Enith Amanda Ibargüen Mondragón, Eduardo Salazar Jurado, Edwin Hernando Prieto Moreno, Kernel Enrique Multi-patch and multi-group model for the transmission of the malaria |
| title | Multi-patch and multi-group model for the transmission of the malaria |
| title_alt | Modelo multiparche y multigrupo para la transmisión de la 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_short | 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 |
| topic | Análisis cualitativo, malaria, modelo multigrupo, modelo multiparche Matemáticas Aplicadas Qualitative analysis, malaria, multi-group model, multi-patch model Applied mathematics |
| topic_facet | Análisis cualitativo, malaria, modelo multigrupo, modelo multiparche Matemáticas Aplicadas Qualitative analysis, malaria, multi-group model, multi-patch model Applied mathematics |
| url | https://revistas.uptc.edu.co/index.php/ciencia_en_desarrollo/article/view/10433 |
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