Positivity and Boundedness of Solutions for a Stochastic Seasonal Epidemiological Model for Respiratory Syncytial Virus (RSV)
In this paper we investigate the positivity and boundedness of the solution of a stochastic seasonal epidemic model for the respira tory syncytial virus (RSV). The stochasticity in the model is due to fluctuating physical and social environments and is introduced by perturbing the transmission param...
- Autores:
-
González Parra, Gilberto
Arenas, Abraham J
Cogollo, Miladys
- Tipo de recurso:
- Fecha de publicación:
- 2017
- Institución:
- Universidad EAFIT
- Repositorio:
- Repositorio EAFIT
- Idioma:
- eng
- OAI Identifier:
- oai:repository.eafit.edu.co:10784/13172
- Acceso en línea:
- http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3716
http://hdl.handle.net/10784/13172
- Palabra clave:
- Seasonal epidemic model
Respiratory syncytial virus
Stochastic differential equation
Ito’s formula
Positive solutions
Brownian motion
Modelo epidemiológico estacional estocástico
Virus respiratorio sincitial
Modelización matemática
Positividad
Sistema dinámico
- Rights
- License
- Copyright (c) 2017 Gilberto González Parra, Abraham J Arenas, Miladys Cogollo
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| dc.title.eng.fl_str_mv |
Positivity and Boundedness of Solutions for a Stochastic Seasonal Epidemiological Model for Respiratory Syncytial Virus (RSV) |
| dc.title.spa.fl_str_mv |
Positividad y acotamiento de soluciones de un modelo epidemiologico estacional estocástico para el virus respiratorio sincitial |
| title |
Positivity and Boundedness of Solutions for a Stochastic Seasonal Epidemiological Model for Respiratory Syncytial Virus (RSV) |
| spellingShingle |
Positivity and Boundedness of Solutions for a Stochastic Seasonal Epidemiological Model for Respiratory Syncytial Virus (RSV) Seasonal epidemic model Respiratory syncytial virus Stochastic differential equation Ito’s formula Positive solutions Brownian motion Modelo epidemiológico estacional estocástico Virus respiratorio sincitial Modelización matemática Positividad Sistema dinámico |
| title_short |
Positivity and Boundedness of Solutions for a Stochastic Seasonal Epidemiological Model for Respiratory Syncytial Virus (RSV) |
| title_full |
Positivity and Boundedness of Solutions for a Stochastic Seasonal Epidemiological Model for Respiratory Syncytial Virus (RSV) |
| title_fullStr |
Positivity and Boundedness of Solutions for a Stochastic Seasonal Epidemiological Model for Respiratory Syncytial Virus (RSV) |
| title_full_unstemmed |
Positivity and Boundedness of Solutions for a Stochastic Seasonal Epidemiological Model for Respiratory Syncytial Virus (RSV) |
| title_sort |
Positivity and Boundedness of Solutions for a Stochastic Seasonal Epidemiological Model for Respiratory Syncytial Virus (RSV) |
| dc.creator.fl_str_mv |
González Parra, Gilberto Arenas, Abraham J Cogollo, Miladys |
| dc.contributor.author.none.fl_str_mv |
González Parra, Gilberto Arenas, Abraham J Cogollo, Miladys |
| dc.contributor.affiliation.spa.fl_str_mv |
Universidad Los Andes Universidad de Córdoba Universidad EAFIT |
| dc.subject.keyword.eng.fl_str_mv |
Seasonal epidemic model Respiratory syncytial virus Stochastic differential equation Ito’s formula Positive solutions Brownian motion |
| topic |
Seasonal epidemic model Respiratory syncytial virus Stochastic differential equation Ito’s formula Positive solutions Brownian motion Modelo epidemiológico estacional estocástico Virus respiratorio sincitial Modelización matemática Positividad Sistema dinámico |
| dc.subject.keyword.spa.fl_str_mv |
Modelo epidemiológico estacional estocástico Virus respiratorio sincitial Modelización matemática Positividad Sistema dinámico |
| description |
In this paper we investigate the positivity and boundedness of the solution of a stochastic seasonal epidemic model for the respira tory syncytial virus (RSV). The stochasticity in the model is due to fluctuating physical and social environments and is introduced by perturbing the transmission parameter of the seasonal disease. We show the existence and uniqueness of the positive solution of the stochastic seasonal epidemic model which is required in the modeling of populations since all populations must be positive from a biological point of view. In addition, the positivity and boundedness of solutions is important to other nonlinear models that arise in sciences and engineering. Numerical simulations of the stochastic model are performed using the Milstein numerical scheme and are included to support our analytic results. |
| publishDate |
2017 |
| dc.date.issued.none.fl_str_mv |
2017-03-10 |
| dc.date.available.none.fl_str_mv |
2018-11-16T16:28:57Z |
| dc.date.accessioned.none.fl_str_mv |
2018-11-16T16:28:57Z |
| dc.date.none.fl_str_mv |
2017-03-10 |
| dc.type.eng.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion article publishedVersion |
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http://purl.org/coar/version/c_970fb48d4fbd8a85 |
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http://purl.org/coar/resource_type/c_6501 http://purl.org/coar/resource_type/c_2df8fbb1 |
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Artículo |
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publishedVersion |
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2256-4314 1794-9165 |
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http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3716 http://hdl.handle.net/10784/13172 |
| dc.identifier.doi.none.fl_str_mv |
10.17230/ingciencia.13.25.4 |
| identifier_str_mv |
2256-4314 1794-9165 10.17230/ingciencia.13.25.4 |
| url |
http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3716 http://hdl.handle.net/10784/13172 |
| dc.language.iso.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.isversionof.none.fl_str_mv |
http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3716 |
| dc.rights.eng.fl_str_mv |
Copyright (c) 2017 Gilberto González Parra, Abraham J Arenas, Miladys Cogollo Attribution 4.0 International (CC BY 4.0) |
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http://purl.org/coar/access_right/c_abf2 |
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http://creativecommons.org/licenses/by/4.0 |
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Acceso abierto |
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Copyright (c) 2017 Gilberto González Parra, Abraham J Arenas, Miladys Cogollo Attribution 4.0 International (CC BY 4.0) http://creativecommons.org/licenses/by/4.0 Acceso abierto http://purl.org/coar/access_right/c_abf2 |
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application/pdf |
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Universidad EAFIT |
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instname:Universidad EAFIT reponame:Repositorio Institucional Universidad EAFIT |
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Ingeniería y Ciencia; Vol 13 No 25 (2017); 95-121 |
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Ingeniería y Ciencia; Vol 13 No 25 (2017); 95-121 |
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2017-03-102018-11-16T16:28:57Z2017-03-102018-11-16T16:28:57Z2256-43141794-9165http://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3716http://hdl.handle.net/10784/1317210.17230/ingciencia.13.25.4In this paper we investigate the positivity and boundedness of the solution of a stochastic seasonal epidemic model for the respira tory syncytial virus (RSV). The stochasticity in the model is due to fluctuating physical and social environments and is introduced by perturbing the transmission parameter of the seasonal disease. We show the existence and uniqueness of the positive solution of the stochastic seasonal epidemic model which is required in the modeling of populations since all populations must be positive from a biological point of view. In addition, the positivity and boundedness of solutions is important to other nonlinear models that arise in sciences and engineering. Numerical simulations of the stochastic model are performed using the Milstein numerical scheme and are included to support our analytic results.En este trabajo se investiga la positividad y acotamineto de la solución de un modelo epidemiologico estacional estocástico para el virus respiratorio sincitial (RSV). La estocasticidad en el modelo se debe a entornos físicos y sociales fluctuantes y se introduce perturbando el parámetro de transmisión de la enfermedad. Se demuestra la existencia y unicidad de la solución positiva del modelo epidemiologico estacional estocástico, lo cual se requiere en el modelado de las poblaciones ya que todas las poblaciones deben ser positivos desde el punto de vista biológico. Adicionalmente, la positividad y la acotación de las soluciones es importante para otros modelos no lineales que se presentan en las ciencias y la ingeniería. Las simulaciones numéricas del modelo estocástico se realizan utilizando el esquema numérico de Milstein y se incluyen para apoyar los resultados analíticos.application/pdfengUniversidad EAFIThttp://publicaciones.eafit.edu.co/index.php/ingciencia/article/view/3716Copyright (c) 2017 Gilberto González Parra, Abraham J Arenas, Miladys CogolloAttribution 4.0 International (CC BY 4.0)http://creativecommons.org/licenses/by/4.0Acceso abiertohttp://purl.org/coar/access_right/c_abf2instname:Universidad EAFITreponame:Repositorio Institucional Universidad EAFITIngeniería y Ciencia; Vol 13 No 25 (2017); 95-121Ingeniería y Ciencia; Vol 13 No 25 (2017); 95-121Positivity and Boundedness of Solutions for a Stochastic Seasonal Epidemiological Model for Respiratory Syncytial Virus (RSV)Positividad y acotamiento de soluciones de un modelo epidemiologico estacional estocástico para el virus respiratorio sincitialinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionarticlepublishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1Seasonal epidemic modelRespiratory syncytial virusStochastic differential equationIto’s formulaPositive solutionsBrownian motionModelo epidemiológico estacional estocásticoVirus respiratorio sincitialModelización matemáticaPositividadSistema dinámicoGonzález Parra, GilbertoArenas, Abraham JCogollo, MiladysUniversidad Los AndesUniversidad de CórdobaUniversidad EAFITIngeniería y Ciencia132595121ing.ciencTHUMBNAILminaitura-ig_Mesa de trabajo 1.jpgminaitura-ig_Mesa de trabajo 1.jpgimage/jpeg265796https://repository.eafit.edu.co/bitstreams/5e93dd92-391e-4201-8e2f-51df9e30b8cf/downloadda9b21a5c7e00c7f1127cef8e97035e0MD51ORIGINAL4.pdf4.pdfTexto completo PDFapplication/pdf567114https://repository.eafit.edu.co/bitstreams/88eebb43-89a6-499d-87a5-e3264c189c5b/downloadf23171b6b9505d0858cca713dd1cb4cbMD52articulo.htmlarticulo.htmlTexto completo HTMLtext/html374https://repository.eafit.edu.co/bitstreams/51cdbc60-44c6-495a-baa1-c7a6b89d148d/downloadf680c896d057372349955c4db14d6f3eMD5310784/13172oai:repository.eafit.edu.co:10784/131722020-03-01 17:41:45.951http://creativecommons.org/licenses/by/4.0Copyright (c) 2017 Gilberto González Parra, Abraham J Arenas, Miladys Cogolloopen.accesshttps://repository.eafit.edu.coRepositorio Institucional Universidad EAFITrepositorio@eafit.edu.co |