FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAY

Descripción del Articulo

The objective of this paper is to study the reduction of an epidemiological simple SI given originally in partial differential equations into a model in delay differential equations. Originally, the population is divided in juvenile and adult groups. We assume that only the adult population is sexua...

Descripción completa

Detalles Bibliográficos
Autores: López Cruz, Roxana, Carrillo Díaz, Luis Enrique
Formato: artículo
Fecha de Publicación:2007
Institución:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Lenguaje:español
OAI Identifier:oai:ojs.csi.unmsm:article/9420
Enlace del recurso:https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9420
Nivel de acceso:acceso abierto
Materia:Epidemiolgy
SI Mathematical Model
Partial Differential Equations
Delay Differential Equations
Inmunología
Modelo SI
Ecuación en Derivadas Parciales
Ecuación con Retardo
id REVUNMSM_37d0e8b82928d925d110f533637fdce7
oai_identifier_str oai:ojs.csi.unmsm:article/9420
network_acronym_str REVUNMSM
network_name_str Revistas - Universidad Nacional Mayor de San Marcos
repository_id_str
spelling FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAYFORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAYLópez Cruz, RoxanaCarrillo Díaz, Luis EnriqueEpidemiolgySI Mathematical ModelPartial Differential EquationsDelay Differential EquationsInmunologíaModelo SIEcuación en Derivadas ParcialesEcuación con RetardoThe objective of this paper is to study the reduction of an epidemiological simple SI given originally in partial differential equations into a model in delay differential equations. Originally, the population is divided in juvenile and adult groups. We assume that only the adult population is sexually active and that it is possible that infected adults may produce susceptible newborns and infected newborns. The global stability of the SI model in Delay Equations is studied in López-Cruz [5]El objetivo de este trabajo es estudiar la reducción de un modelo epidemiológico simple SI planteado originalmente en ecuaciones diferenciales parciales a otro modelo en ecuaciones diferenciales con retardo. Originalmente, la población es dividida en jóvenes y adultos. Se asume que sólo los adultos son sexualmente activos y que esposible que adultos infectados tengan bebes sanos. La estabilidad global del modelo SI planteado en Ecuaciones con Retardo es analizado en López-Cruz [5].Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas2007-07-16info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/942010.15381/pes.v10i1.9420Pesquimat; Vol. 10 No. 1 (2007)Pesquimat; Vol. 10 Núm. 1 (2007)1609-84391560-912X10.15381/pes.v10i1reponame:Revistas - Universidad Nacional Mayor de San Marcosinstname:Universidad Nacional Mayor de San Marcosinstacron:UNMSMspahttps://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9420/8242Derechos de autor 2007 Luis Enrique Carrillo Díazhttps://creativecommons.org/licenses/by-nc-sa/4.0info:eu-repo/semantics/openAccessoai:ojs.csi.unmsm:article/94202020-03-08T15:28:22Z
dc.title.none.fl_str_mv FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAY
FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAY
title FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAY
spellingShingle FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAY
López Cruz, Roxana
Epidemiolgy
SI Mathematical Model
Partial Differential Equations
Delay Differential Equations
Inmunología
Modelo SI
Ecuación en Derivadas Parciales
Ecuación con Retardo
title_short FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAY
title_full FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAY
title_fullStr FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAY
title_full_unstemmed FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAY
title_sort FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAY
dc.creator.none.fl_str_mv López Cruz, Roxana
Carrillo Díaz, Luis Enrique
author López Cruz, Roxana
author_facet López Cruz, Roxana
Carrillo Díaz, Luis Enrique
author_role author
author2 Carrillo Díaz, Luis Enrique
author2_role author
dc.subject.none.fl_str_mv Epidemiolgy
SI Mathematical Model
Partial Differential Equations
Delay Differential Equations
Inmunología
Modelo SI
Ecuación en Derivadas Parciales
Ecuación con Retardo
topic Epidemiolgy
SI Mathematical Model
Partial Differential Equations
Delay Differential Equations
Inmunología
Modelo SI
Ecuación en Derivadas Parciales
Ecuación con Retardo
description The objective of this paper is to study the reduction of an epidemiological simple SI given originally in partial differential equations into a model in delay differential equations. Originally, the population is divided in juvenile and adult groups. We assume that only the adult population is sexually active and that it is possible that infected adults may produce susceptible newborns and infected newborns. The global stability of the SI model in Delay Equations is studied in López-Cruz [5]
publishDate 2007
dc.date.none.fl_str_mv 2007-07-16
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9420
10.15381/pes.v10i1.9420
url https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9420
identifier_str_mv 10.15381/pes.v10i1.9420
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/9420/8242
dc.rights.none.fl_str_mv Derechos de autor 2007 Luis Enrique Carrillo Díaz
https://creativecommons.org/licenses/by-nc-sa/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2007 Luis Enrique Carrillo Díaz
https://creativecommons.org/licenses/by-nc-sa/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas
publisher.none.fl_str_mv Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas
dc.source.none.fl_str_mv Pesquimat; Vol. 10 No. 1 (2007)
Pesquimat; Vol. 10 Núm. 1 (2007)
1609-8439
1560-912X
10.15381/pes.v10i1
reponame:Revistas - Universidad Nacional Mayor de San Marcos
instname:Universidad Nacional Mayor de San Marcos
instacron:UNMSM
instname_str Universidad Nacional Mayor de San Marcos
instacron_str UNMSM
institution UNMSM
reponame_str Revistas - Universidad Nacional Mayor de San Marcos
collection Revistas - Universidad Nacional Mayor de San Marcos
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1795238279649427456
score 13.7211075
FORMULATION OF AN AGE STRUCTURED POPULATION MODEL AND ITS REDUCTION TO A MODEL WITH DELAY
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).

Ejemplares Similares