Modelling silicosis: the structure of equilibria

Detalhes bibliográficos
Autor(a) principal: Costa, Fernando Pestana da
Data de Publicação: 2020
Outros Autores: Grinfeld, Michael, Drmota, Michael
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/9137
Resumo: We analyse the structure of equilibria of a coagulation–fragmentation–death model of silicosis. We present exact multiplicity results in the particular case of piecewise constant coefficients, results on existence and non-existence of equilibria in the general case, as well as precise asymptotics for the infinite series that arise in the case of power law coefficients.
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spelling Modelling silicosis: the structure of equilibriaAsymptotic theoryGeneral theory in ordinary differential equationsPhysiological, cellular and medical topicsMellin transformSilicosisCoagulation-fragmentation-death equationsWe analyse the structure of equilibria of a coagulation–fragmentation–death model of silicosis. We present exact multiplicity results in the particular case of piecewise constant coefficients, results on existence and non-existence of equilibria in the general case, as well as precise asymptotics for the infinite series that arise in the case of power law coefficients.Cambridge University PressRepositório AbertoCosta, Fernando Pestana daGrinfeld, MichaelDrmota, Michael2020-01-31T14:37:03Z20202020-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/9137engDA COSTA, F., DRMOTA, M., & GRINFELD, M. (2020). Modelling silicosis: The structure of equilibria. European Journal of Applied Mathematics, 31, (6), 950-967. doi:10.1017/S09567925190003290956-7925https://doi.org/10.1017/S0956792519000329info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-11-16T15:31:58Zoai:repositorioaberto.uab.pt:10400.2/9137Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:49:02.697618Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Modelling silicosis: the structure of equilibria
title Modelling silicosis: the structure of equilibria
spellingShingle Modelling silicosis: the structure of equilibria
Costa, Fernando Pestana da
Asymptotic theory
General theory in ordinary differential equations
Physiological, cellular and medical topics
Mellin transform
Silicosis
Coagulation-fragmentation-death equations
title_short Modelling silicosis: the structure of equilibria
title_full Modelling silicosis: the structure of equilibria
title_fullStr Modelling silicosis: the structure of equilibria
title_full_unstemmed Modelling silicosis: the structure of equilibria
title_sort Modelling silicosis: the structure of equilibria
author Costa, Fernando Pestana da
author_facet Costa, Fernando Pestana da
Grinfeld, Michael
Drmota, Michael
author_role author
author2 Grinfeld, Michael
Drmota, Michael
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Costa, Fernando Pestana da
Grinfeld, Michael
Drmota, Michael
dc.subject.por.fl_str_mv Asymptotic theory
General theory in ordinary differential equations
Physiological, cellular and medical topics
Mellin transform
Silicosis
Coagulation-fragmentation-death equations
topic Asymptotic theory
General theory in ordinary differential equations
Physiological, cellular and medical topics
Mellin transform
Silicosis
Coagulation-fragmentation-death equations
description We analyse the structure of equilibria of a coagulation–fragmentation–death model of silicosis. We present exact multiplicity results in the particular case of piecewise constant coefficients, results on existence and non-existence of equilibria in the general case, as well as precise asymptotics for the infinite series that arise in the case of power law coefficients.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-31T14:37:03Z
2020
2020-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.2/9137
url http://hdl.handle.net/10400.2/9137
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv DA COSTA, F., DRMOTA, M., & GRINFELD, M. (2020). Modelling silicosis: The structure of equilibria. European Journal of Applied Mathematics, 31, (6), 950-967. doi:10.1017/S0956792519000329
0956-7925
https://doi.org/10.1017/S0956792519000329
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Cambridge University Press
publisher.none.fl_str_mv Cambridge University Press
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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