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Título:
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On the long time behavior of non-autonomous Lotka-Volterra models with diffusion via the sub-supertrajectory method
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Autores:
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Rodríguez Bernal, Aníbal ;
Langa, José A. ;
Suárez Fernández , Antonio
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier, 2010
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Ecuaciones diferenciales
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Tipo = Artículo
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Resumen:
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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.
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En línea:
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https://eprints.ucm.es/id/eprint/13978/1/2010onthelong-2.pdf
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