Langa, J.A.Rodríguez Bernal, AníbalSuárez, Antonio2023-06-202023-06-2020101575-9822https://hdl.handle.net/20.500.14352/44757In 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.engjournal articlehttp://www.sema.org.es/web/component/option,com_wrapper/Itemid,68/lang,spanish/http://www.sema.org.es/open access517.9Sub-supertrajectory methodLotka-Volterra competition systemattracting complete trajectoriesEcuaciones diferenciales1202.07 Ecuaciones en Diferencias