| dc.creator | Gómez-Hernández, E. A. | |
| dc.creator | Salazar-Jurado, Edwin | |
| dc.creator | Altamirano-Fernández, Alex | |
| dc.creator | Hernández-García, Ruber | |
| dc.date | 2023-08-21T15:52:07Z | |
| dc.date | 2023-08-21T15:52:07Z | |
| dc.date | 2023 | |
| dc.date.accessioned | 2024-05-02T20:31:34Z | |
| dc.date.available | 2024-05-02T20:31:34Z | |
| dc.identifier | http://repositorio.ucm.cl/handle/ucm/4918 | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/9275146 | |
| dc.description | 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. | |
| dc.language | en | |
| dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Chile | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
| dc.source | Journal of Physics: Conference Series, 2515, 012002 | |
| dc.title | Consequences of insecticides on the dynamics of Anopheles mosquitoes | |
| dc.type | Article | |
