2016-04-192016-04-192010Langa Rosado, J.A., Rodríguez Bernal, A. y Suárez Fernández, A. (2010). The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model.1575-9822http://hdl.handle.net/11441/40066In 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Sub-supertrajectory methodLotka-Volterra competition systemattracting complete trajectoriesinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess