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dc.contributor.authorGómez-Hernández, E. A.
dc.contributor.authorSalazar-Jurado, Edwin
dc.contributor.authorAltamirano-Fernández, Alex
dc.contributor.authorHernández-García, Ruber
dc.date.accessioned2023-08-21T15:52:07Z
dc.date.available2023-08-21T15:52:07Z
dc.date.issued2023
dc.identifier.urihttp://repositorio.ucm.cl/handle/ucm/4918
dc.description.abstractPhysics 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.isoenes_CL
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 Chile*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/*
dc.sourceJournal of Physics: Conference Series, 2515, 012002es_CL
dc.titleConsequences of insecticides on the dynamics of Anopheles mosquitoeses_CL
dc.typeArticlees_CL
dc.ucm.facultadFacultad de Ciencias Básicases_CL
dc.ucm.indexacionScopuses_CL
dc.ucm.uriiopscience.iop.org/article/10.1088/1742-6596/2515/1/012002es_CL
dc.ucm.doidoi.org/10.1088/1742-6596/2515/1/012002es_CL


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Atribución-NoComercial-SinDerivadas 3.0 Chile
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