The quasi-deterministic limit of population dynamics

Autores
Aparicio, Juan Pablo; Natiello, Mario A.; Solari, Hernan Gustavo
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We discuss and compare different, but related, approximations to the stochastic dynamics of populations, all of them having as limit the same deterministic dynamics. The diffusion approximation,linearized diffusion approximation and the Poisson approximation are briefly revisited and their quality as approximations for large, but given, populations is addressed analytically as well as with demonstrative examples.
Fil: Aparicio, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones en Energía no Convencional. Universidad Nacional de Salta. Facultad de Ciencias Exactas. Departamento de Física. Instituto de Investigaciones en Energía no Convencional; Argentina
Fil: Natiello, Mario A.. Lund University; Suecia
Fil: Solari, Hernan Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
Materia
Stochastic Population Dynamics,
Feller Process
Poisson Approximation
Langevin approach
Diffusion Approximation
SDE
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:11336/56148
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/56148
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The quasi-deterministic limit of population dynamicsAparicio, Juan PabloNatiello, Mario A.Solari, Hernan GustavoStochastic Population Dynamics,Feller ProcessPoisson ApproximationLangevin approachDiffusion ApproximationSDEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We discuss and compare different, but related, approximations to the stochastic dynamics of populations, all of them having as limit the same deterministic dynamics. The diffusion approximation,linearized diffusion approximation and the Poisson approximation are briefly revisited and their quality as approximations for large, but given, populations is addressed analytically as well as with demonstrative examples.Fil: Aparicio, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones en Energía no Convencional. Universidad Nacional de Salta. Facultad de Ciencias Exactas. Departamento de Física. Instituto de Investigaciones en Energía no Convencional; ArgentinaFil: Natiello, Mario A.. Lund University; SueciaFil: Solari, Hernan Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; ArgentinaCentre for Environment & Socio-Economic Research2012-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/56148Aparicio, Juan Pablo; Natiello, Mario A.; Solari, Hernan Gustavo; The quasi-deterministic limit of population dynamics; Centre for Environment & Socio-Economic Research; International Journal of Applied Mathematics and Statistics; 26; 2; 2-2012; 30-450973-75450973-7545CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.ceser.in/ceserp/index.php/ijamas/article/view/663info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:45:18Zoai:ri.conicet.gov.ar:11336/56148instacron: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 09:45:19.202CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The quasi-deterministic limit of population dynamics
title The quasi-deterministic limit of population dynamics
spellingShingle The quasi-deterministic limit of population dynamics
Aparicio, Juan Pablo
Stochastic Population Dynamics,
Feller Process
Poisson Approximation
Langevin approach
Diffusion Approximation
SDE
title_short The quasi-deterministic limit of population dynamics
title_full The quasi-deterministic limit of population dynamics
title_fullStr The quasi-deterministic limit of population dynamics
title_full_unstemmed The quasi-deterministic limit of population dynamics
title_sort The quasi-deterministic limit of population dynamics
dc.creator.none.fl_str_mv Aparicio, Juan Pablo
Natiello, Mario A.
Solari, Hernan Gustavo
author Aparicio, Juan Pablo
author_facet Aparicio, Juan Pablo
Natiello, Mario A.
Solari, Hernan Gustavo
author_role author
author2 Natiello, Mario A.
Solari, Hernan Gustavo
author2_role author
author
dc.subject.none.fl_str_mv Stochastic Population Dynamics,
Feller Process
Poisson Approximation
Langevin approach
Diffusion Approximation
SDE
topic Stochastic Population Dynamics,
Feller Process
Poisson Approximation
Langevin approach
Diffusion Approximation
SDE
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We discuss and compare different, but related, approximations to the stochastic dynamics of populations, all of them having as limit the same deterministic dynamics. The diffusion approximation,linearized diffusion approximation and the Poisson approximation are briefly revisited and their quality as approximations for large, but given, populations is addressed analytically as well as with demonstrative examples.
Fil: Aparicio, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones en Energía no Convencional. Universidad Nacional de Salta. Facultad de Ciencias Exactas. Departamento de Física. Instituto de Investigaciones en Energía no Convencional; Argentina
Fil: Natiello, Mario A.. Lund University; Suecia
Fil: Solari, Hernan Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Física de Buenos Aires. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Física de Buenos Aires; Argentina
description We discuss and compare different, but related, approximations to the stochastic dynamics of populations, all of them having as limit the same deterministic dynamics. The diffusion approximation,linearized diffusion approximation and the Poisson approximation are briefly revisited and their quality as approximations for large, but given, populations is addressed analytically as well as with demonstrative examples.
publishDate 2012
dc.date.none.fl_str_mv 2012-02
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/11336/56148
Aparicio, Juan Pablo; Natiello, Mario A.; Solari, Hernan Gustavo; The quasi-deterministic limit of population dynamics; Centre for Environment & Socio-Economic Research; International Journal of Applied Mathematics and Statistics; 26; 2; 2-2012; 30-45
0973-7545
0973-7545
CONICET Digital
CONICET
url http://hdl.handle.net/11336/56148
identifier_str_mv Aparicio, Juan Pablo; Natiello, Mario A.; Solari, Hernan Gustavo; The quasi-deterministic limit of population dynamics; Centre for Environment & Socio-Economic Research; International Journal of Applied Mathematics and Statistics; 26; 2; 2-2012; 30-45
0973-7545
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.ceser.in/ceserp/index.php/ijamas/article/view/663
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
application/pdf
dc.publisher.none.fl_str_mv Centre for Environment & Socio-Economic Research
publisher.none.fl_str_mv Centre for Environment & Socio-Economic Research
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_ 1842268722477137920
score 13.13397

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