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

 Title: On a generalized yorke condition for scalar delayed population models Author(s): Faria, TeresaLiz, EduardoOliveira, José J.Trofimchuk, Sergei Keywords: Delay population modelGlobal attractivityYorke condition3/2-conditiondelayed population model Issue date: Mar-2005 Publisher: American Institute of Mathematical Sciences (AIMS) Journal: Discrete 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. Type: Article URI: http://hdl.handle.net/1822/3909 ISSN: 1078-09471553-5231 Publisher version: http://aimSciences.org Peer-Reviewed: yes Access: Restricted access (UMinho) Appears in Collections: CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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