Modelling silicosis: the structure of equilibria
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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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1799135073458454528 |