dc.creator | Langa Rosado, José Antonio | es |
dc.creator | Rodríguez Bernal, Aníbal | es |
dc.creator | Suárez Fernández, Antonio | es |
dc.date.accessioned | 2016-07-06T10:34:28Z | |
dc.date.available | 2016-07-06T10:34:28Z | |
dc.date.issued | 2010-07-15 | |
dc.identifier.citation | Langa Rosado, J.A., Rodríguez Bernal, A. y Suárez Fernández, A. (2010). On the long time behavior of non-autonomous Lotka–Volterra models with diffusion via the sub-supertrajectory method. Journal of Differential Equations, 249 (2), 414-445. | |
dc.identifier.issn | 0022-0396 | es |
dc.identifier.uri | http://hdl.handle.net/11441/43245 | |
dc.description.abstract | 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. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Universidad Complutense de Madrid | es |
dc.description.sponsorship | Comunidad Autónoma de Madrid | es |
dc.description.sponsorship | Grupo de Investigación CADEDIF | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Differential Equations, 249 (2), 414-445. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Sub-supertrajectory method | es |
dc.subject | Lotka-Volterra competition | es |
dc.subject | Symbiosis and prey-predator systems | es |
dc.subject | Attracting complete trajectories | es |
dc.title | On the long time behavior of non-autonomous Lotka–Volterra models with diffusion via the sub-supertrajectory method | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | MTM2008-0088 | es |
dc.relation.projectID | HF2008-0039 | es |
dc.relation.projectID | PHB2006-003PC | es |
dc.relation.projectID | MTM2006-08262 | es |
dc.relation.projectID | CCG07-UCM/ESP-2393 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.jde.2010.04.001 | es |
dc.identifier.doi | 10.1016/j.jde.2010.04.001 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software | es |
idus.format.extent | 43 p. | es |
dc.journaltitle | Journal of Differential Equations | es |
dc.publication.volumen | 249 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 414 | es |
dc.publication.endPage | 445 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/43245 | |