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Consequences of insecticides on the dynamics of Anopheles mosquitoes
dc.contributor.author | Gómez-Hernández, E. A. | |
dc.contributor.author | Salazar-Jurado, Edwin | |
dc.contributor.author | Altamirano-Fernández, Alex | |
dc.contributor.author | Hernández-García, Ruber | |
dc.date.accessioned | 2023-08-21T15:52:07Z | |
dc.date.available | 2023-08-21T15:52:07Z | |
dc.date.issued | 2023 | |
dc.identifier.uri | http://repositorio.ucm.cl/handle/ucm/4918 | |
dc.description.abstract | Physics is a science that has developed valuable contributions to the understanding of different phenomena; in particular, the concept of a dynamic system originates in Newtonian mechanics; a concept that allows predictions of phenomena that are changing over time. The evolution rule is an implicit relation that can be given by a differential equation; our goal is to use dynamic systems in a problem of global importance, such as malaria. This is a potentially fatal disease caused by parasites transmitted to humans by biting infected female mosquitoes of the genus Anopheles; control is mainly due to combating the vectors. However, extensive use of insecticides has subjected mosquitoes to intense selection pressure, resulting in the development of physiological and behavioural resistance; therefore, we propose to study the dynamics of resistant and non-resistant infected mosquitoes. Our contribution is a system of ordinary differential equations in which non-resistant mosquitoes are assumed to have a logistic growth and exit upon developing resistance. In addition, we assume that resistant mosquitoes can have non-resistant offspring and only natural death; we performed a stability analysis of the model, allowing us to conclude that both types of mosquitoes always exist beyond a certain threshold. In addition, we performed a numerical study considering different levels of insecticide represented by the deaths it produces. | es_CL |
dc.language.iso | en | es_CL |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
dc.source | Journal of Physics: Conference Series, 2515, 012002 | es_CL |
dc.title | Consequences of insecticides on the dynamics of Anopheles mosquitoes | es_CL |
dc.type | Article | es_CL |
dc.ucm.facultad | Facultad de Ciencias Básicas | es_CL |
dc.ucm.indexacion | Scopus | es_CL |
dc.ucm.uri | iopscience.iop.org/article/10.1088/1742-6596/2515/1/012002 | es_CL |
dc.ucm.doi | doi.org/10.1088/1742-6596/2515/1/012002 | es_CL |
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