RT Journal Article T1 The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model A1 Langa, J.A. A1 Rodríguez Bernal, Aníbal A1 Suárez, Antonio AB 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. PB Sociedad Española de Matemática Aplicada SN 1575-9822 YR 2010 FD 2010 LK https://hdl.handle.net/20.500.14352/44757 UL https://hdl.handle.net/20.500.14352/44757 LA eng NO CCG07-UCM/ESP-2393 NO UCM-CAM NO CADEDIF DS Docta Complutense RD 15 abr 2025