Global asymptotic stability for a periodic delay hematopoiesis model with impulses

Bibliographic Details
Main Author: Faria, Teresa
Publication Date: 2020
Other Authors: Oliveira, José J.
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: https://hdl.handle.net/1822/63715
Summary: "Available online 7 November 2019"
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spelling Global asymptotic stability for a periodic delay hematopoiesis model with impulsesHematopoiesis modelMackey-Glass modelImpulsesPeriodic solutionGlobal asymptotic stabilityCiências Naturais::MatemáticasScience & Technology"Available online 7 November 2019"In this paper, sufficient conditions for the global asymptotic stability of a broad family of periodic impulsive scalar delay differential equations are obtained. These conditions are applied to a periodic hematopoiesis model with multiple time-dependent delays and linear impulses, in order to establish criteria for the global asymptotic stability of a positive periodic solution. The present results are discussed within the context of recent literature. In conclusion, when compared with previous works, not only sharper stability criteria are obtained here, even for models without impulses, but also the usual constraints imposed on the linear impulses are relaxed.This work was partially supported by Fundação para a Ciência e a Tecnologia (Portugal) under project UID/MAT/04561/2019 (Teresa Faria) and project UID/MAT/00013/2013(José J. Oliveira).ElsevierUniversidade do MinhoFaria, TeresaOliveira, José J.2020-032020-03-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/1822/63715eng0307-904X10.1016/j.apm.2019.10.063https://www.sciencedirect.com/science/article/abs/pii/S0307904X1930664Xinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2025-04-12T05:11:50Zoai:repositorium.sdum.uminho.pt:1822/63715Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T16:12:31.722661Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Global asymptotic stability for a periodic delay hematopoiesis model with impulses
title Global asymptotic stability for a periodic delay hematopoiesis model with impulses
spellingShingle Global asymptotic stability for a periodic delay hematopoiesis model with impulses
Faria, Teresa
Hematopoiesis model
Mackey-Glass model
Impulses
Periodic solution
Global asymptotic stability
Ciências Naturais::Matemáticas
Science & Technology
title_short Global asymptotic stability for a periodic delay hematopoiesis model with impulses
title_full Global asymptotic stability for a periodic delay hematopoiesis model with impulses
title_fullStr Global asymptotic stability for a periodic delay hematopoiesis model with impulses
title_full_unstemmed Global asymptotic stability for a periodic delay hematopoiesis model with impulses
title_sort Global asymptotic stability for a periodic delay hematopoiesis model with impulses
author Faria, Teresa
author_facet Faria, Teresa
Oliveira, José J.
author_role author
author2 Oliveira, José J.
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Faria, Teresa
Oliveira, José J.
dc.subject.por.fl_str_mv Hematopoiesis model
Mackey-Glass model
Impulses
Periodic solution
Global asymptotic stability
Ciências Naturais::Matemáticas
Science & Technology
topic Hematopoiesis model
Mackey-Glass model
Impulses
Periodic solution
Global asymptotic stability
Ciências Naturais::Matemáticas
Science & Technology
description "Available online 7 November 2019"
publishDate 2020
dc.date.none.fl_str_mv 2020-03
2020-03-01T00:00:00Z
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 https://hdl.handle.net/1822/63715
url https://hdl.handle.net/1822/63715
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0307-904X
10.1016/j.apm.2019.10.063
https://www.sciencedirect.com/science/article/abs/pii/S0307904X1930664X
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 Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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