Modelling silicosis: dynamics of a model with piecewise constant rate coefficients

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorAntunes, Pedro R. S.-
Autor(es): dc.creatorCosta, Fernando Pestana da-
Autor(es): dc.creatorPinto, João Teixeira-
Autor(es): dc.creatorSasportes, Rafael-
Data de aceite: dc.date.accessioned2025-08-21T15:26:35Z-
Data de disponibilização: dc.date.available2025-08-21T15:26:35Z-
Data de envio: dc.date.issued2022-10-18-
Data de envio: dc.date.issued2023-10-12-
Data de envio: dc.date.issued2022-10-12-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/12368-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/12368-
Descrição: dc.descriptionWe study the dynamics about equilibria of an infinite dimensional system of ordinary differential equations of coagulation–fragmentation–death type that was introduced recently by da Costa et al. (Eur J Appl Math 31(6):950–967, 2020) as a model for the silicosis disease mechanism. For a class of piecewise constant rate coefficients an appropriate change of variables allows for the appearance of a closed finite dimensional subsystem of the infinite-dimensional system and the analysis of the eigenvalues of the linearizations of this finite dimensional subsystem about the equilibria is then used to obtain the results on the stability of the equilibria in the original infinite dimensional model.-
Descrição: dc.descriptionResearch partially supported by Fundação para a Ciência e a Tecnologia (Portugal) through project CAMGSD UID/04459/2020.-
Descrição: dc.descriptioninfo:eu-repo/semantics/publishedVersion-
Formato: dc.formatapplication/pdf-
Idioma: dc.languageen-
Publicador: dc.publisherSpringer Nature-
Relação: dc.relationhttps://link.springer.com/article/10.1007/s10884-022-10213-7-
Palavras-chave: dc.subjectCoagulation-fragmentation-death equations-
Palavras-chave: dc.subjectModel of silicosis-
Palavras-chave: dc.subjectLocal stability of equilibria-
Título: dc.titleModelling silicosis: dynamics of a model with piecewise constant rate coefficients-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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