Non-algebraic oscillations for predator-prey models

We prove that the limit cycle oscillations of the celebrated Rosenzweig-MacArthur differential system and other predator-prey models are non-algebraic.

Detalles Bibliográficos
Autores: Ferragut Amengual, Antoni Manel|||0000-0002-7420-5004, Gasull, Armengol|||0000-0002-1719-8231
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:150737
Acceso en línea:https://ddd.uab.cat/record/150737
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Extra14_11
Access Level:acceso abierto
Palabra clave:Invariant algebraic curves
Limit cycles
Periodic orbit
Planar polynomial differential system
Predator-prey model
Rosenzweig-MacArthur system
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spelling Non-algebraic oscillations for predator-prey modelsFerragut Amengual, Antoni Manel|||0000-0002-7420-5004Gasull, Armengol|||0000-0002-1719-8231Invariant algebraic curvesLimit cyclesPeriodic orbitPlanar polynomial differential systemPredator-prey modelRosenzweig-MacArthur systemWe prove that the limit cycle oscillations of the celebrated Rosenzweig-MacArthur differential system and other predator-prey models are non-algebraic. 22014-01-0120142014-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/150737https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Extra14_11reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410open accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1507372026-06-06T12:50:31Z
dc.title.none.fl_str_mv Non-algebraic oscillations for predator-prey models
title Non-algebraic oscillations for predator-prey models
spellingShingle Non-algebraic oscillations for predator-prey models
Ferragut Amengual, Antoni Manel|||0000-0002-7420-5004
Invariant algebraic curves
Limit cycles
Periodic orbit
Planar polynomial differential system
Predator-prey model
Rosenzweig-MacArthur system
title_short Non-algebraic oscillations for predator-prey models
title_full Non-algebraic oscillations for predator-prey models
title_fullStr Non-algebraic oscillations for predator-prey models
title_full_unstemmed Non-algebraic oscillations for predator-prey models
title_sort Non-algebraic oscillations for predator-prey models
dc.creator.none.fl_str_mv Ferragut Amengual, Antoni Manel|||0000-0002-7420-5004
Gasull, Armengol|||0000-0002-1719-8231
author Ferragut Amengual, Antoni Manel|||0000-0002-7420-5004
author_facet Ferragut Amengual, Antoni Manel|||0000-0002-7420-5004
Gasull, Armengol|||0000-0002-1719-8231
author_role author
author2 Gasull, Armengol|||0000-0002-1719-8231
author2_role author
dc.subject.none.fl_str_mv Invariant algebraic curves
Limit cycles
Periodic orbit
Planar polynomial differential system
Predator-prey model
Rosenzweig-MacArthur system
topic Invariant algebraic curves
Limit cycles
Periodic orbit
Planar polynomial differential system
Predator-prey model
Rosenzweig-MacArthur system
description We prove that the limit cycle oscillations of the celebrated Rosenzweig-MacArthur differential system and other predator-prey models are non-algebraic.
publishDate 2014
dc.date.none.fl_str_mv 2
2014-01-01
2014
2014-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/150737
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Extra14_11
url https://ddd.uab.cat/record/150737
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_Extra14_11
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Ciencia e Innovación https://doi.org/10.13039/501100004837 MTM2008-03437
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2009/SGR-410
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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