Dynamics of populations with two sexes

Autores
Pérez, M. Cecilia; Saavedra, E. Adriana; Ferrari, Mariano Andrés
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A mathematical model is presented in order to describe the dynamics of polygamous populations, bearing in mind single individuals of both sexes and the development of reproductive groups. In this context, the description leads us to consider positive homogeneous dynamical systems, establishing conditions for the stationary state existence and its local stability. A fourth pre-reproductive stage was considered, i.e. males and females spend part of their lives before being in condition to reproduce, as a first step to consider more general models. Finally, we parametrized the proposed model using southern elephant seal data, to analyze the direct applicability to a real population.
Fil: Pérez, M. Cecilia. Universidad Nacional de la Patagonia "san Juan Bosco". Facultad de Ingeniería - Sede Esquel; Argentina
Fil: Saavedra, E. Adriana. Universidad Nacional de la Patagonia; Argentina
Fil: Ferrari, Mariano Andrés. Universidad Nacional de la Patagonia. Facultad de Ingeniería. Sede Puerto Madryn; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Nacional Patagónico; Argentina
Materia
Dynamical Systems
Local Stability
Mating System
Two-Sex Model
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:11336/78917
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Dynamics of populations with two sexesPérez, M. CeciliaSaavedra, E. AdrianaFerrari, Mariano AndrésDynamical SystemsLocal StabilityMating SystemTwo-Sex Modelhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1https://purl.org/becyt/ford/1.6https://purl.org/becyt/ford/1A mathematical model is presented in order to describe the dynamics of polygamous populations, bearing in mind single individuals of both sexes and the development of reproductive groups. In this context, the description leads us to consider positive homogeneous dynamical systems, establishing conditions for the stationary state existence and its local stability. A fourth pre-reproductive stage was considered, i.e. males and females spend part of their lives before being in condition to reproduce, as a first step to consider more general models. Finally, we parametrized the proposed model using southern elephant seal data, to analyze the direct applicability to a real population.Fil: Pérez, M. Cecilia. Universidad Nacional de la Patagonia "san Juan Bosco". Facultad de Ingeniería - Sede Esquel; ArgentinaFil: Saavedra, E. Adriana. Universidad Nacional de la Patagonia; ArgentinaFil: Ferrari, Mariano Andrés. Universidad Nacional de la Patagonia. Facultad de Ingeniería. Sede Puerto Madryn; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Nacional Patagónico; ArgentinaWorld Scientific2015-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/78917Pérez, M. Cecilia; Saavedra, E. Adriana; Ferrari, Mariano Andrés; Dynamics of populations with two sexes; World Scientific; International Journal of Biomathematics; 8; 4; 3-2015; 1-18; 15500491793-52451793-7159CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1142/S1793524515500497info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S1793524515500497info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-08-25T14:53:11Zoai:ri.conicet.gov.ar:11336/78917instacron: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:34982026-08-25 14:53:11.741CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Dynamics of populations with two sexes
title Dynamics of populations with two sexes
spellingShingle Dynamics of populations with two sexes
Pérez, M. Cecilia
Dynamical Systems
Local Stability
Mating System
Two-Sex Model
title_short Dynamics of populations with two sexes
title_full Dynamics of populations with two sexes
title_fullStr Dynamics of populations with two sexes
title_full_unstemmed Dynamics of populations with two sexes
title_sort Dynamics of populations with two sexes
dc.creator.none.fl_str_mv Pérez, M. Cecilia
Saavedra, E. Adriana
Ferrari, Mariano Andrés
author Pérez, M. Cecilia
author_facet Pérez, M. Cecilia
Saavedra, E. Adriana
Ferrari, Mariano Andrés
author_role author
author2 Saavedra, E. Adriana
Ferrari, Mariano Andrés
author2_role author
author
dc.subject.none.fl_str_mv Dynamical Systems
Local Stability
Mating System
Two-Sex Model
topic Dynamical Systems
Local Stability
Mating System
Two-Sex Model
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
https://purl.org/becyt/ford/1.6
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A mathematical model is presented in order to describe the dynamics of polygamous populations, bearing in mind single individuals of both sexes and the development of reproductive groups. In this context, the description leads us to consider positive homogeneous dynamical systems, establishing conditions for the stationary state existence and its local stability. A fourth pre-reproductive stage was considered, i.e. males and females spend part of their lives before being in condition to reproduce, as a first step to consider more general models. Finally, we parametrized the proposed model using southern elephant seal data, to analyze the direct applicability to a real population.
Fil: Pérez, M. Cecilia. Universidad Nacional de la Patagonia "san Juan Bosco". Facultad de Ingeniería - Sede Esquel; Argentina
Fil: Saavedra, E. Adriana. Universidad Nacional de la Patagonia; Argentina
Fil: Ferrari, Mariano Andrés. Universidad Nacional de la Patagonia. Facultad de Ingeniería. Sede Puerto Madryn; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Nacional Patagónico; Argentina
description A mathematical model is presented in order to describe the dynamics of polygamous populations, bearing in mind single individuals of both sexes and the development of reproductive groups. In this context, the description leads us to consider positive homogeneous dynamical systems, establishing conditions for the stationary state existence and its local stability. A fourth pre-reproductive stage was considered, i.e. males and females spend part of their lives before being in condition to reproduce, as a first step to consider more general models. Finally, we parametrized the proposed model using southern elephant seal data, to analyze the direct applicability to a real population.
publishDate 2015
dc.date.none.fl_str_mv 2015-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/78917
Pérez, M. Cecilia; Saavedra, E. Adriana; Ferrari, Mariano Andrés; Dynamics of populations with two sexes; World Scientific; International Journal of Biomathematics; 8; 4; 3-2015; 1-18; 1550049
1793-5245
1793-7159
CONICET Digital
CONICET
url http://hdl.handle.net/11336/78917
identifier_str_mv Pérez, M. Cecilia; Saavedra, E. Adriana; Ferrari, Mariano Andrés; Dynamics of populations with two sexes; World Scientific; International Journal of Biomathematics; 8; 4; 3-2015; 1-18; 1550049
1793-5245
1793-7159
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1142/S1793524515500497
info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S1793524515500497
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.publisher.none.fl_str_mv World Scientific
publisher.none.fl_str_mv World Scientific
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
_version_ 1874774829950828544
score 13.265058

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