Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/3909

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dc.contributor.authorFaria, Teresa-
dc.contributor.authorLiz, Eduardo-
dc.contributor.authorOliveira, José J.-
dc.contributor.authorTrofimchuk, Sergei-
dc.date.accessioned2006-01-13T12:30:31Z-
dc.date.available2006-01-13T12:30:31Z-
dc.date.issued2005-03-
dc.identifier.citation"Discrete and Continuous Dynamical Systems. Series A". ISSN 1078-0947. 12:3 (2005) 481-500.eng
dc.identifier.issn1078-0947eng
dc.identifier.issn1553-5231eng
dc.identifier.urihttp://hdl.handle.net/1822/3909-
dc.description.abstractFor a scalar delayed differential equation $\dot x(t)=f(t,x_t)$, we give sufficient conditions for the global attractivity of its zero solution. Some technical assumptions are imposed to insure boundedness of solutions and attractivity of non-oscillatory solutions. For controlling the behaviour of oscillatory solutions, we require a very general condition of Yorke type, together with a 3/2-condition. The results are particularly interesting when applied to scalar differential equations with delays which have served as models in populations dynamics, and can be written in the general form $\dot x(t)=(1+x(t))F(t,x_t)$. Applications to several models are presented, improving known results in the literature.eng
dc.description.sponsorshipFundo Europeu de Desenvolvimento Regional (FEDER) - project BFM2001-3884-C02-02.por
dc.description.sponsorshipFondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) - project 1030992.por
dc.description.sponsorshipFundação para a Ciência e a Tecnologia (FCT).por
dc.language.isoengeng
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)eng
dc.rightsrestrictedAccesseng
dc.subjectDelay population modeleng
dc.subjectGlobal attractivityeng
dc.subjectYorke conditioneng
dc.subject3/2-conditioneng
dc.subjectdelayed population modelpor
dc.titleOn a generalized yorke condition for scalar delayed population modelseng
dc.typearticlepor
dc.peerreviewedyeseng
dc.relation.publisherversionhttp://aimSciences.orgeng
sdum.number3eng
sdum.pagination481-500eng
sdum.publicationstatuspublishedeng
sdum.volume12eng
oaire.citationStartPage481por
oaire.citationEndPage500por
oaire.citationIssue3por
oaire.citationVolume12por
dc.subject.wosScience & Technologypor
sdum.journalDiscrete and Continuous Dynamical Systems. Series Apor
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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