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00925njm 22002777a 4500 dc Langa, J.A. author Rodríguez Bernal, Aníbal author Suárez, Antonio author 2010 In this paper we study in detail the pullback and forwards attractions to non-autonomous competition Lotka-Volterra system. In particular, under some conditions on the parameters, we prove the existence of a unique non-degenerate global solution for these models, which attracts any other complete bounded trajectory. For that we present the sub-supertrajectory tool as a generalization of the now classical subsupersolution method. 1575-9822 https://hdl.handle.net/20.500.14352/44757 http://www.sema.org.es/web/component/option,com_wrapper/Itemid,68/lang,spanish/ http://www.sema.org.es/ The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model