Positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term with delay

Autores
Amster, Pablo Gustavo; Déboli, Alberto Fernando
Año de publicación
2013
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
In the article of L. Berezansky raises the following open problem: give sufficient conditions for the existence of a T-periodic positive solution for the Generalized Nicholson Model with a nonlinear Harvesting term. Recently, F. Long, solved a special case of the problem with a linear harvesting term with a delay that depends on the estimated population. In this paper we extend this result giving sufficient conditions for the existence of a T-positive periodic solution for a generalized model of Nicholson type with m delays and a nonlinear harvesting term depending on one of those delays.
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Déboli, Alberto Fernando. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
IV Congreso de Matemática Aplicada, Computacional e Industrial
Buenos Aires
Argentina
Asociación Argentina de Matemática Aplicada, Computacional e Industrial
Materia
Delay differential equations
Biological models
Topological degree
periodic solutions
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/248207
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/248207
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term with delayAmster, Pablo GustavoDéboli, Alberto FernandoDelay differential equationsBiological modelsTopological degreeperiodic solutionshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In the article of L. Berezansky raises the following open problem: give sufficient conditions for the existence of a T-periodic positive solution for the Generalized Nicholson Model with a nonlinear Harvesting term. Recently, F. Long, solved a special case of the problem with a linear harvesting term with a delay that depends on the estimated population. In this paper we extend this result giving sufficient conditions for the existence of a T-positive periodic solution for a generalized model of Nicholson type with m delays and a nonlinear harvesting term depending on one of those delays.Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Déboli, Alberto Fernando. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaIV Congreso de Matemática Aplicada, Computacional e IndustrialBuenos AiresArgentinaAsociación Argentina de Matemática Aplicada, Computacional e IndustrialAsociación Argentina de Matemática Aplicada, Computacional e Industrial2013info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObjectCongresoJournalhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/248207Positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term with delay; IV Congreso de Matemática Aplicada, Computacional e Industrial; Buenos Aires; Argentina; 2013; 109-1122314-3282CONICET DigitalCONICETengInternacionalinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:55:11Zoai:ri.conicet.gov.ar:11336/248207instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:55:12.021CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term with delay
title Positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term with delay
spellingShingle Positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term with delay
Amster, Pablo Gustavo
Delay differential equations
Biological models
Topological degree
periodic solutions
title_short Positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term with delay
title_full Positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term with delay
title_fullStr Positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term with delay
title_full_unstemmed Positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term with delay
title_sort Positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term with delay
dc.creator.none.fl_str_mv Amster, Pablo Gustavo
Déboli, Alberto Fernando
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
Déboli, Alberto Fernando
author_role author
author2 Déboli, Alberto Fernando
author2_role author
dc.subject.none.fl_str_mv Delay differential equations
Biological models
Topological degree
periodic solutions
topic Delay differential equations
Biological models
Topological degree
periodic solutions
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In the article of L. Berezansky raises the following open problem: give sufficient conditions for the existence of a T-periodic positive solution for the Generalized Nicholson Model with a nonlinear Harvesting term. Recently, F. Long, solved a special case of the problem with a linear harvesting term with a delay that depends on the estimated population. In this paper we extend this result giving sufficient conditions for the existence of a T-positive periodic solution for a generalized model of Nicholson type with m delays and a nonlinear harvesting term depending on one of those delays.
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Déboli, Alberto Fernando. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
IV Congreso de Matemática Aplicada, Computacional e Industrial
Buenos Aires
Argentina
Asociación Argentina de Matemática Aplicada, Computacional e Industrial
description In the article of L. Berezansky raises the following open problem: give sufficient conditions for the existence of a T-periodic positive solution for the Generalized Nicholson Model with a nonlinear Harvesting term. Recently, F. Long, solved a special case of the problem with a linear harvesting term with a delay that depends on the estimated population. In this paper we extend this result giving sufficient conditions for the existence of a T-positive periodic solution for a generalized model of Nicholson type with m delays and a nonlinear harvesting term depending on one of those delays.
publishDate 2013
dc.date.none.fl_str_mv 2013
dc.type.none.fl_str_mv info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/conferenceObject
Congreso
Journal
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
status_str publishedVersion
format conferenceObject
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/248207
Positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term with delay; IV Congreso de Matemática Aplicada, Computacional e Industrial; Buenos Aires; Argentina; 2013; 109-112
2314-3282
CONICET Digital
CONICET
url http://hdl.handle.net/11336/248207
identifier_str_mv Positive T-periodic solutions of a generalized Nicholson's blowflies model with a nonlinear harvesting term with delay; IV Congreso de Matemática Aplicada, Computacional e Industrial; Buenos Aires; Argentina; 2013; 109-112
2314-3282
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.coverage.none.fl_str_mv Internacional
dc.publisher.none.fl_str_mv Asociación Argentina de Matemática Aplicada, Computacional e Industrial
publisher.none.fl_str_mv Asociación Argentina de Matemática Aplicada, Computacional e Industrial
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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