Mathematical modelling for the transmission of dengue : symmetry and travelling wave analysis.

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorBacani, Felipo-
Autor(es): dc.creatorDimas, Stylianos-
Autor(es): dc.creatorFreire, Igor Leite-
Autor(es): dc.creatorMaidana, Norberto Anibal-
Autor(es): dc.creatorTorrisi, Mariano-
Data de aceite: dc.date.accessioned2025-08-21T15:31:28Z-
Data de disponibilização: dc.date.available2025-08-21T15:31:28Z-
Data de envio: dc.date.issued2018-10-04-
Data de envio: dc.date.issued2018-10-04-
Data de envio: dc.date.issued2018-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/handle/123456789/10317-
Fonte completa do material: dc.identifierhttps://www.sciencedirect.com/science/article/pii/S1468121817301608#!-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/1017380-
Descrição: dc.descriptionIn this paper we propose some mathematical models for the transmission of dengue using a system of reaction–diffusion equations. The mosquitoes are divided into infected, uninfected and aquatic subpopulations, while the humans, which are divided into susceptible, infected and recovered, are considered homogeneously distributed in space with a constant total population. We find Lie point symmetries of the models and we study theirs temporal dynamics, which provides us the regions of stability and instability, depending on the values of the basic offspring and the basic reproduction numbers. Also, we calculate the possible values of the wave speed for the mosquitoes invasion and dengue spread and compare them with those found in the literature.-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Direitos: dc.rightsrestrito-
Palavras-chave: dc.subjectLie symmetries-
Palavras-chave: dc.subjectQualitative analysis-
Palavras-chave: dc.subjectApplied mathematics-
Título: dc.titleMathematical modelling for the transmission of dengue : symmetry and travelling wave analysis.-
Aparece nas coleções:Repositório Institucional - UFOP

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