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The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model

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Langa, J.A. and Rodríguez Bernal, Aníbal and Suárez, Antonio (2010) The sub-supertrajectory method. Application to the nonautonomous competition Lotka-Volterra model. Boletín de la Sociedad Española de Matemática Aplicada. SEMA, 51 . pp. 91-99. ISSN 1575-9822

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Official URL: http://www.sema.org.es/web/component/option,com_wrapper/Itemid,68/lang,spanish/


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Abstract

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.


Item Type:Article
Uncontrolled Keywords:Sub-supertrajectory method; Lotka-Volterra competition system; attracting complete trajectories
Subjects:Sciences > Mathematics > Differential equations
ID Code:33328
Deposited On:29 Sep 2015 11:23
Last Modified:12 Dec 2018 15:07

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