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

2022-10-12Journal article Open access
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dc.contributor.authorAntunes, Pedro R. S.
dc.contributor.authorCosta, Fernando Pestana da
dc.contributor.authorPinto, João Teixeira
dc.contributor.authorSasportes, Rafael
dc.date.accessioned2022-10-19T15:31:19Z
dc.date.available2023-10-12T00:30:20Z
dc.date.issued2022-10-12
dc.description.abstractWe 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.pt_PT
dc.description.sponsorshipResearch partially supported by Fundação para a Ciência e a Tecnologia (Portugal) through project CAMGSD UID/04459/2020.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationAntunes, P.R.S., Costa, F.P.d., Pinto, J.T. et al. Modelling Silicosis: Dynamics of a Model with Piecewise Constant Rate Coefficients. J Dyn. Diff. Equat., 36, 1285–1310 (2024). https://doi.org/10.1007/s10884-022-10213-7pt_PT
dc.identifier.doi10.1007/s10884-022-10213-7pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.2/12368
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringer Naturept_PT
dc.relation.publisherversionhttps://link.springer.com/article/10.1007/s10884-022-10213-7pt_PT
dc.subjectCoagulation-fragmentation-death equationspt_PT
dc.subjectModel of silicosispt_PT
dc.subjectLocal stability of equilibriapt_PT
dc.titleModelling silicosis: dynamics of a model with piecewise constant rate coefficientspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.titleJournal of Dynamics and Differential Equationspt_PT
person.familyNameAntunes
person.familyNameCosta
person.familyNameTeixeira Pinto
person.familyNameSasportes
person.givenNamePedro
person.givenNameFernando Pestana da
person.givenNameJoão
person.givenNameRafael
person.identifier.ciencia-id6710-138C-A69D
person.identifier.ciencia-id1610-6502-E6C5
person.identifier.ciencia-idDC16-AE64-30AE
person.identifier.orcid0000-0003-1969-1860
person.identifier.orcid0000-0002-9072-797X
person.identifier.orcid0000-0003-0190-2113
person.identifier.orcid0000-0003-2855-9490
person.identifier.ridM-2406-2015
person.identifier.ridK-5942-2013
person.identifier.scopus-author-id55346859100
person.identifier.scopus-author-id14827970300
person.identifier.scopus-author-id7402584922
person.identifier.scopus-author-id24176381600
rcaap.embargofctInformação existente em https://v2.sherpa.ac.uk/id/publication/17219pt_PT
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication51b5ae32-4da8-4e15-bdb6-f59ec776d293
relation.isAuthorOfPublication.latestForDiscovery72748d24-0598-4f36-804e-87eebd0d06af

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