Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic Method
ABSTRACT: Epidemic thresholds were deduced and simulated from SIR models of Susceptible – Infected – Recovered individuals, through local stability analysis of the disease free and endemic equilibrium, with an algorithmic method. One and two types of infected individuals were modeled, considering th...
- Autores:
-
Hincapié Palacio, Doracelly
Gómez Arias, Rubén Darío
Ospina Giraldo, Juan Fernando
Afuwape Afuwape, Anthony
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2008
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/42285
- Acceso en línea:
- https://hdl.handle.net/10495/42285
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7120305/
- Palabra clave:
- Modelos Teóricos
Models, Theoretical
Número Básico de Reproducción
Basic Reproduction Number
Epidemiología
Epidemiology
https://id.nlm.nih.gov/mesh/D008962
https://id.nlm.nih.gov/mesh/D050936
https://id.nlm.nih.gov/mesh/D004813
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/2.5/co/
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Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic Method |
| title |
Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic Method |
| spellingShingle |
Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic Method Modelos Teóricos Models, Theoretical Número Básico de Reproducción Basic Reproduction Number Epidemiología Epidemiology https://id.nlm.nih.gov/mesh/D008962 https://id.nlm.nih.gov/mesh/D050936 https://id.nlm.nih.gov/mesh/D004813 |
| title_short |
Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic Method |
| title_full |
Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic Method |
| title_fullStr |
Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic Method |
| title_full_unstemmed |
Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic Method |
| title_sort |
Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic Method |
| dc.creator.fl_str_mv |
Hincapié Palacio, Doracelly Gómez Arias, Rubén Darío Ospina Giraldo, Juan Fernando Afuwape Afuwape, Anthony |
| dc.contributor.author.none.fl_str_mv |
Hincapié Palacio, Doracelly Gómez Arias, Rubén Darío Ospina Giraldo, Juan Fernando Afuwape Afuwape, Anthony |
| dc.contributor.researchgroup.spa.fl_str_mv |
Epidemiología Modelación con Ecuaciones Diferenciales |
| dc.subject.decs.none.fl_str_mv |
Modelos Teóricos Models, Theoretical Número Básico de Reproducción Basic Reproduction Number Epidemiología Epidemiology |
| topic |
Modelos Teóricos Models, Theoretical Número Básico de Reproducción Basic Reproduction Number Epidemiología Epidemiology https://id.nlm.nih.gov/mesh/D008962 https://id.nlm.nih.gov/mesh/D050936 https://id.nlm.nih.gov/mesh/D004813 |
| dc.subject.meshuri.none.fl_str_mv |
https://id.nlm.nih.gov/mesh/D008962 https://id.nlm.nih.gov/mesh/D050936 https://id.nlm.nih.gov/mesh/D004813 |
| description |
ABSTRACT: Epidemic thresholds were deduced and simulated from SIR models of Susceptible – Infected – Recovered individuals, through local stability analysis of the disease free and endemic equilibrium, with an algorithmic method. One and two types of infected individuals were modeled, considering the influence of subclinical, undiagnosed or unrecognized infected cases in disease transmission. |
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2008 |
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2008 |
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2024-09-19T18:51:01Z |
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2024-09-19T18:51:01Z |
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Artículo de investigación |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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Hincapié Palacio D, Ospina Giraldo JF, Uyi Afuwape A, Gómez Arias RD. Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic Method. Alemania. LNTCS. [Internet] 2008 [Consultado año mes día]; 5354:119–130.Disponible en: https://link.springer.com/chapter/10.1007/978-3-540-89746-0_12 |
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1611-3349 |
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https://hdl.handle.net/10495/42285 |
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10.1007/978-3-540-89746-0_12 |
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https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7120305/ |
| identifier_str_mv |
Hincapié Palacio D, Ospina Giraldo JF, Uyi Afuwape A, Gómez Arias RD. Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic Method. Alemania. LNTCS. [Internet] 2008 [Consultado año mes día]; 5354:119–130.Disponible en: https://link.springer.com/chapter/10.1007/978-3-540-89746-0_12 1611-3349 10.1007/978-3-540-89746-0_12 |
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https://hdl.handle.net/10495/42285 https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7120305/ |
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eng |
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eng |
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130 |
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119 |
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5354 |
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Lecture Notes In Computer Science |
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12 páginas |
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Hincapié Palacio, DoracellyGómez Arias, Rubén DaríoOspina Giraldo, Juan FernandoAfuwape Afuwape, AnthonyEpidemiologíaModelación con Ecuaciones Diferenciales2024-09-19T18:51:01Z2024-09-19T18:51:01Z2008Hincapié Palacio D, Ospina Giraldo JF, Uyi Afuwape A, Gómez Arias RD. Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic Method. Alemania. LNTCS. [Internet] 2008 [Consultado año mes día]; 5354:119–130.Disponible en: https://link.springer.com/chapter/10.1007/978-3-540-89746-0_121611-3349https://hdl.handle.net/10495/4228510.1007/978-3-540-89746-0_12https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7120305/ABSTRACT: Epidemic thresholds were deduced and simulated from SIR models of Susceptible – Infected – Recovered individuals, through local stability analysis of the disease free and endemic equilibrium, with an algorithmic method. One and two types of infected individuals were modeled, considering the influence of subclinical, undiagnosed or unrecognized infected cases in disease transmission.COL0004362COL002436512 páginasapplication/pdfengSpringerAlemaniahttp://creativecommons.org/licenses/by-nc-nd/2.5/co/https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Epidemic Thresholds in SIR and SIIR Models Applying an Algorithmic MethodArtículo de investigaciónhttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARThttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionModelos TeóricosModels, TheoreticalNúmero Básico de ReproducciónBasic Reproduction NumberEpidemiologíaEpidemiologyhttps://id.nlm.nih.gov/mesh/D008962https://id.nlm.nih.gov/mesh/D050936https://id.nlm.nih.gov/mesh/D0048131301195354Lecture Notes In Computer SciencePublicationCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8823https://bibliotecadigital.udea.edu.co/bitstreams/b0b19436-db29-4822-80b5-bc38d2767b0e/downloadb88b088d9957e670ce3b3fbe2eedbc13MD52falseAnonymousREADLICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstreams/ee478ea3-a8c0-4a16-9178-c3224cbb9eed/download8a4605be74aa9ea9d79846c1fba20a33MD53falseAnonymousREADORIGINALHincapieDoracelly_2008EpidemicThresholdsAlgoritmic.pdfHincapieDoracelly_2008EpidemicThresholdsAlgoritmic.pdfArtículo de investigaciónapplication/pdf253497https://bibliotecadigital.udea.edu.co/bitstreams/d76494ae-34c7-4cc5-a4c2-ca705dcd634c/download75e8e976c817195cc695b140c9fd70dfMD51trueAnonymousREADTEXTHincapieDoracelly_2008EpidemicThresholdsAlgoritmic.pdf.txtHincapieDoracelly_2008EpidemicThresholdsAlgoritmic.pdf.txtExtracted texttext/plain29096https://bibliotecadigital.udea.edu.co/bitstreams/a4bf2c86-c454-4f69-b1ff-e1f7e76ef21d/downloade5ef6db89c5ebf609a3493127e72a5e8MD54falseAnonymousREADTHUMBNAILHincapieDoracelly_2008EpidemicThresholdsAlgoritmic.pdf.jpgHincapieDoracelly_2008EpidemicThresholdsAlgoritmic.pdf.jpgGenerated Thumbnailimage/jpeg11987https://bibliotecadigital.udea.edu.co/bitstreams/ab5efb1a-db75-427a-9ee4-0e99bcee4ef3/downloadcd5a2f7c0504bfe1f366e6ce9e3dfa04MD55falseAnonymousREAD10495/42285oai:bibliotecadigital.udea.edu.co:10495/422852025-03-26 21:10:05.969http://creativecommons.org/licenses/by-nc-nd/2.5/co/open.accesshttps://bibliotecadigital.udea.edu.coRepositorio Institucional de la Universidad de Antioquiaaplicacionbibliotecadigitalbiblioteca@udea.edu.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 |