Estimation of domains of attraction in epidemiological models with constant removal rates of infected individuals
ABSTRACT: The spread of infections is commonly represented through the so-called Susceptible – Infectious – Recovered models (SIR). Treatment based on isolation of infected individuals is often applied to decrease the spread of certain diseases. Such situation is considered in the SIR model through...
- Autores:
-
Blanco, Aníbal Manuel
Bandoni, Jose Alberto
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2007
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/7909
- Acceso en línea:
- http://hdl.handle.net/10495/7909
- Palabra clave:
- Propagación de infecciones
- Rights
- openAccess
- License
- Atribución 2.5 Colombia (CC BY 2.5 CO)
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| dc.title.spa.fl_str_mv |
Estimation of domains of attraction in epidemiological models with constant removal rates of infected individuals |
| title |
Estimation of domains of attraction in epidemiological models with constant removal rates of infected individuals |
| spellingShingle |
Estimation of domains of attraction in epidemiological models with constant removal rates of infected individuals Propagación de infecciones |
| title_short |
Estimation of domains of attraction in epidemiological models with constant removal rates of infected individuals |
| title_full |
Estimation of domains of attraction in epidemiological models with constant removal rates of infected individuals |
| title_fullStr |
Estimation of domains of attraction in epidemiological models with constant removal rates of infected individuals |
| title_full_unstemmed |
Estimation of domains of attraction in epidemiological models with constant removal rates of infected individuals |
| title_sort |
Estimation of domains of attraction in epidemiological models with constant removal rates of infected individuals |
| dc.creator.fl_str_mv |
Blanco, Aníbal Manuel Bandoni, Jose Alberto |
| dc.contributor.author.none.fl_str_mv |
Blanco, Aníbal Manuel Bandoni, Jose Alberto |
| dc.subject.none.fl_str_mv |
Propagación de infecciones |
| topic |
Propagación de infecciones |
| description |
ABSTRACT: The spread of infections is commonly represented through the so-called Susceptible – Infectious – Recovered models (SIR). Treatment based on isolation of infected individuals is often applied to decrease the spread of certain diseases. Such situation is considered in the SIR model through a constant removal rate term. It has been shown that in such cases, the outcome of the disease spread may depend on the position of the initial states for certain range of the model parameters. The estimation of the domains of attraction of the equilibrium points may therefore be useful to understand the dynamic behavior of the infection spread as a function of the initial population distribution. In this contribution, a Lyapunov based approach to estimate the domain of attraction of the endemic steady state point in SIR models is proposed |
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2007 |
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2007 |
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2017-08-10T15:52:03Z |
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2017-08-10T15:52:03Z |
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info:eu-repo/semantics/article |
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http://purl.org/coar/version/c_970fb48d4fbd8a86 http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Artículo de investigación |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.identifier.citation.spa.fl_str_mv |
Matallana, L. G., Blanco, A. M., & Bandoni, J. A. (2007). Estimation of domains of attraction in epidemiological models with constant removal rates of infected individuals. Journal of Physics Conference Series. Journal of Physics Conference Series, 90, 1-7. |
| dc.identifier.issn.none.fl_str_mv |
1742-6588 |
| dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/10495/7909 |
| dc.identifier.doi.none.fl_str_mv |
10.1088/1742-6596/90/1/012052 |
| dc.identifier.eissn.none.fl_str_mv |
1742-6596 |
| identifier_str_mv |
Matallana, L. G., Blanco, A. M., & Bandoni, J. A. (2007). Estimation of domains of attraction in epidemiological models with constant removal rates of infected individuals. Journal of Physics Conference Series. Journal of Physics Conference Series, 90, 1-7. 1742-6588 10.1088/1742-6596/90/1/012052 1742-6596 |
| url |
http://hdl.handle.net/10495/7909 |
| dc.language.iso.spa.fl_str_mv |
eng |
| language |
eng |
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Atribución 2.5 Colombia (CC BY 2.5 CO) |
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info:eu-repo/semantics/openAccess |
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https://creativecommons.org/licenses/by/2.5/co/ |
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Atribución 2.5 Colombia (CC BY 2.5 CO) https://creativecommons.org/licenses/by/2.5/co/ http://purl.org/coar/access_right/c_abf2 https://creativecommons.org/licenses/by/4.0/ |
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openAccess |
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7 |
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application/pdf |
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IOP Publishing Ltd. |
| dc.publisher.group.spa.fl_str_mv |
Simulación, Diseño, Control y Optimización de Procesos (SIDCOP) |
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Reino Unido |
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Universidad de Antioquia |
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Blanco, Aníbal ManuelBandoni, Jose Alberto2017-08-10T15:52:03Z2017-08-10T15:52:03Z2007Matallana, L. G., Blanco, A. M., & Bandoni, J. A. (2007). Estimation of domains of attraction in epidemiological models with constant removal rates of infected individuals. Journal of Physics Conference Series. Journal of Physics Conference Series, 90, 1-7.1742-6588http://hdl.handle.net/10495/790910.1088/1742-6596/90/1/0120521742-6596ABSTRACT: The spread of infections is commonly represented through the so-called Susceptible – Infectious – Recovered models (SIR). Treatment based on isolation of infected individuals is often applied to decrease the spread of certain diseases. Such situation is considered in the SIR model through a constant removal rate term. It has been shown that in such cases, the outcome of the disease spread may depend on the position of the initial states for certain range of the model parameters. The estimation of the domains of attraction of the equilibrium points may therefore be useful to understand the dynamic behavior of the infection spread as a function of the initial population distribution. In this contribution, a Lyapunov based approach to estimate the domain of attraction of the endemic steady state point in SIR models is proposed7application/pdfengIOP Publishing Ltd.Simulación, Diseño, Control y Optimización de Procesos (SIDCOP)Reino Unidoinfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a86http://purl.org/coar/version/c_970fb48d4fbd8a85Atribución 2.5 Colombia (CC BY 2.5 CO)info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by/4.0/Propagación de infeccionesEstimation of domains of attraction in epidemiological models with constant removal rates of infected individualsJournal of Physics: Conference Series18CC-LICENSElicense_urllicense_urltext/plain; charset=utf-849http://bibliotecadigital.udea.edu.co/bitstream/10495/7909/2/license_url4afdbb8c545fd630ea7db775da747b2fMD52license_textlicense_texttext/html; charset=utf-80http://bibliotecadigital.udea.edu.co/bitstream/10495/7909/3/license_textd41d8cd98f00b204e9800998ecf8427eMD53license_rdflicense_rdfapplication/rdf+xml; charset=utf-80http://bibliotecadigital.udea.edu.co/bitstream/10495/7909/4/license_rdfd41d8cd98f00b204e9800998ecf8427eMD54ORIGINALMatallana_Luis_2007_EpidemiologicalModels.pdfMatallana_Luis_2007_EpidemiologicalModels.pdfArtículo de investigaciónapplication/pdf524288http://bibliotecadigital.udea.edu.co/bitstream/10495/7909/1/Matallana_Luis_2007_EpidemiologicalModels.pdf181741afa370e36c87da1e0c196d2e4cMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748http://bibliotecadigital.udea.edu.co/bitstream/10495/7909/5/license.txt8a4605be74aa9ea9d79846c1fba20a33MD5510495/7909oai:bibliotecadigital.udea.edu.co:10495/79092021-05-20 09:06:51.852Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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 |