dc.creator | Langa Rosado, José Antonio | es |
dc.creator | Robinson, James C. | es |
dc.creator | Rodríguez Bernal, Aníbal | es |
dc.creator | Suárez Fernández, Antonio | es |
dc.date.accessioned | 2016-05-16T06:57:10Z | |
dc.date.available | 2016-05-16T06:57:10Z | |
dc.date.issued | 2009 | |
dc.identifier.citation | Langa Rosado, J.A., Robinson, J.C., Rodríguez Bernal, A. y Suárez Fernández, A. (2009). Permanence and asymptotically stable complete trajectories for nonautonomous Lotka-Volterra models with diffusion. | |
dc.identifier.issn | 0036-1410 | es |
dc.identifier.issn | 1095-7154 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41226 | |
dc.description.abstract | Lotka-Volterra systems are the canonical ecological models used to analyze population dynamics of competition, symbiosis or prey-predator behaviour involving different interacting species in a fixed habitat. Much of the work on these models has been within the framework of infinite-dimensional dynamical systems, but this has frequently been extended to allow explicit time dependence, generally in a periodic, quasiperiodic or almost periodic fashion. The presence of more general non-autonomous terms in the equations leads to non-trivial difficulties which have stalled the development of the theory in this direction. However, the theory of non-autonomous dynamical systems has received much attention in the last decade, and this has opened new possibilities in the analysis of classical models with general non-autonomous terms. In this paper we use the recent theory of attractors for non-autonomous PDEs to obtain new results on the permanence and the existence of forwards and pullback asymptotically stable global solutions associated to non-autonomous Lotka-Volterra systems describing competition, symbiosis or prey-predator phenomena. We note in particular that our results are valid for prey-predator models, which are not order-preserving: even in the ‘simple’ autonomous case the uniqueness and global attractivity of the positive equilibrium (which follows from the more general results here) is new. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Consejería de Innovación, Ciencia y Empresa (Junta de Andalucía) | es |
dc.description.sponsorship | Royal Society University Research Fellowship | es |
dc.description.sponsorship | Grupo de Investigación UCMCAM | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | null | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lotka-Volterra competition | es |
dc.subject | symbiosis and prey-predator systems | es |
dc.subject | non-autonomous dynamical systems | es |
dc.subject | permanence | es |
dc.subject | attracting complete trajectories | es |
dc.title | Permanence and asymptotically stable complete trajectories for nonautonomous Lotka-Volterra models with diffusion | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | 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 | MTM2005-01412 | es |
dc.relation.projectID | FQM-02468 | es |
dc.relation.projectID | MTM2006–08262 | es |
dc.relation.projectID | 920894 | es |
dc.relation.projectID | MTM2006-07932 | es |
dc.relation.projectID | FQM-520 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1137/080721790 | |
dc.identifier.doi | 10.1137/080721790 | |
idus.format.extent | 39 p. | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41226 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |
dc.contributor.funder | Junta de Andalucía | |