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

TitleOn a generalized yorke condition for scalar delayed population models
Author(s)Faria, Teresa
Liz, Eduardo
Oliveira, José J.
Trofimchuk, Sergei
KeywordsDelay population model
Global attractivity
Yorke condition
3/2-condition
delayed population model
Issue dateMar-2005
PublisherAmerican Institute of Mathematical Sciences (AIMS)
JournalDiscrete and Continuous Dynamical Systems. Series A
Citation"Discrete and Continuous Dynamical Systems. Series A". ISSN 1078-0947. 12:3 (2005) 481-500.
Abstract(s)For 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.
TypeArticle
URIhttp://hdl.handle.net/1822/3909
ISSN1078-0947
1553-5231
Publisher versionhttp://aimSciences.org
Peer-Reviewedyes
AccessRestricted access (UMinho)
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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