Global attractivity for scalar differential equations with Small Delay

Detalhes bibliográficos
Autor(a) principal: Oliveira, José J.
Data de Publicação: 2007
Outros Autores: Faria, Teresa
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/6995
Resumo: For scalar functional differential equations x'(t) = f (t,x_t ), we refine the method of Yorke and 3/2-type conditions to prove the global attractivity of the trivial solution. The results are applied to establish sufficient conditions for the global attractivity of the positive equilibrium of scalar delayed population models of the form x'(t) = x(t)f (t,x_t ), and illustrated with the study of two food-limited population models with delay, for which several criteria for their global attractivity are given.
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spelling Global attractivity for scalar differential equations with Small DelayGlobal attractivity3/2-ConditionYorke conditionDelayed population modelFood-limited populationfood-limited population modelScience & TechnologyFor scalar functional differential equations x'(t) = f (t,x_t ), we refine the method of Yorke and 3/2-type conditions to prove the global attractivity of the trivial solution. The results are applied to establish sufficient conditions for the global attractivity of the positive equilibrium of scalar delayed population models of the form x'(t) = x(t)f (t,x_t ), and illustrated with the study of two food-limited population models with delay, for which several criteria for their global attractivity are given.Fundação para a Ciência e a Tecnologia (FCT)ElsevierUniversidade do MinhoOliveira, José J.Faria, Teresa2007-052007-05-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/6995eng"Journal of Mathematical Analysis and Applications". ISSN 0022-247X. 329 (May 2007) 1397-1420.0022-247X10.1016/j.jmaa.2006.07.065http://www.elsevier.com/wps/find/journaldescription.cws_home/622886/description#descriptioninfo: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:RCAAP2023-07-21T12:45:24Zoai:repositorium.sdum.uminho.pt:1822/6995Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:43:14.834993Repositório 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 Global attractivity for scalar differential equations with Small Delay
title Global attractivity for scalar differential equations with Small Delay
spellingShingle Global attractivity for scalar differential equations with Small Delay
Oliveira, José J.
Global attractivity
3/2-Condition
Yorke condition
Delayed population model
Food-limited population
food-limited population model
Science & Technology
title_short Global attractivity for scalar differential equations with Small Delay
title_full Global attractivity for scalar differential equations with Small Delay
title_fullStr Global attractivity for scalar differential equations with Small Delay
title_full_unstemmed Global attractivity for scalar differential equations with Small Delay
title_sort Global attractivity for scalar differential equations with Small Delay
author Oliveira, José J.
author_facet Oliveira, José J.
Faria, Teresa
author_role author
author2 Faria, Teresa
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Oliveira, José J.
Faria, Teresa
dc.subject.por.fl_str_mv Global attractivity
3/2-Condition
Yorke condition
Delayed population model
Food-limited population
food-limited population model
Science & Technology
topic Global attractivity
3/2-Condition
Yorke condition
Delayed population model
Food-limited population
food-limited population model
Science & Technology
description For scalar functional differential equations x'(t) = f (t,x_t ), we refine the method of Yorke and 3/2-type conditions to prove the global attractivity of the trivial solution. The results are applied to establish sufficient conditions for the global attractivity of the positive equilibrium of scalar delayed population models of the form x'(t) = x(t)f (t,x_t ), and illustrated with the study of two food-limited population models with delay, for which several criteria for their global attractivity are given.
publishDate 2007
dc.date.none.fl_str_mv 2007-05
2007-05-01T00:00:00Z
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/1822/6995
url http://hdl.handle.net/1822/6995
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Journal of Mathematical Analysis and Applications". ISSN 0022-247X. 329 (May 2007) 1397-1420.
0022-247X
10.1016/j.jmaa.2006.07.065
http://www.elsevier.com/wps/find/journaldescription.cws_home/622886/description#description
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: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
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