RT Journal Article
T1 On the long time behavior of non-autonomous Lotka-Volterra models with diffusion via the sub-supertrajectory method
A1 Rodríguez Bernal, Aníbal
A1 Langa, José A.
A1 Suárez Fernández, Antonio
AB In this paper we study in detail the geometrical structure of global pullback and forwards attractors associated to non-autonomous Lotka-Volterra systems in all the three cases of competition, symbiosis or prey-predator. 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. Thus, we generalize the existence of a unique strictly positive stable (stationary) solution from the autonomous case and we extend to Lotka–Volterra systems the result for scalar logistic equations. To this end we present the sub-supertrajectory tool as a generalization of the now classical sub-supersolution method. In particular, we also conclude pullback and forwards permanence for the above models.
PB Elsevier
SN 0022-0396
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42014
UL https://hdl.handle.net/20.500.14352/42014
LA eng
NO UCM-CAM Grupo de Investigación CADEDIF
DS Docta Complutense
RD 9 abr 2025