Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapse

The objective of this paper is to study a stochastic epidemiological model with infinite Lévy measure and relapse. Using stochastic tools, we prove the existence and uniqueness of global positive solution. Moreover, we also show the extinction and persistence in mean of the disease by the use of Kun...

Descripción completa

Detalles Bibliográficos
Autores: Benazzouz, Meryem, Caraballo Garrido, Tomás, El Fatini, Mohamed, Laaribi, Aziz
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2023
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/156124
Acceso en línea:https://hdl.handle.net/11441/156124
https://doi.org/10.1016/j.chaos.2024.114531
Access Level:acceso abierto
Palabra clave:Epidemic model
Infinite activity
Relapse
Extinction
Persistence in mean
Kunita’s inequality
id ES_35c2d78b070bb1dddf0774a651c97ef1
oai_identifier_str oai:idus.us.es:11441/156124
network_acronym_str ES
network_name_str España
repository_id_str
spelling Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapseBenazzouz, MeryemCaraballo Garrido, TomásEl Fatini, MohamedLaaribi, AzizEpidemic modelInfinite activityRelapseExtinctionPersistence in meanKunita’s inequalityThe objective of this paper is to study a stochastic epidemiological model with infinite Lévy measure and relapse. Using stochastic tools, we prove the existence and uniqueness of global positive solution. Moreover, we also show the extinction and persistence in mean of the disease by the use of Kunita’s inequality instead of Burkholder–Davis–Gundy inequality for continuous diffusions. The numerical behavior of the considered model is analyzed to understand the impact of environmental transmission on the spread of human and zonotic tuberculosis in Morocco.ElsevierEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis Estocástico de Sistemas Diferenciales2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/156124https://doi.org/10.1016/j.chaos.2024.114531reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésChaos, Solitons & Fractals, 180, 114531-1.https://doi.org/10.1016/j.chaos.2024.114531info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1561242026-06-17T12:51:07Z
dc.title.none.fl_str_mv Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapse
title Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapse
spellingShingle Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapse
Benazzouz, Meryem
Epidemic model
Infinite activity
Relapse
Extinction
Persistence in mean
Kunita’s inequality
title_short Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapse
title_full Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapse
title_fullStr Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapse
title_full_unstemmed Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapse
title_sort Discontinuous stochastic modelling and discrete numerical approximation for Tuberculosis model with relapse
dc.creator.none.fl_str_mv Benazzouz, Meryem
Caraballo Garrido, Tomás
El Fatini, Mohamed
Laaribi, Aziz
author Benazzouz, Meryem
author_facet Benazzouz, Meryem
Caraballo Garrido, Tomás
El Fatini, Mohamed
Laaribi, Aziz
author_role author
author2 Caraballo Garrido, Tomás
El Fatini, Mohamed
Laaribi, Aziz
author2_role author
author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM314: Análisis Estocástico de Sistemas Diferenciales
dc.subject.none.fl_str_mv Epidemic model
Infinite activity
Relapse
Extinction
Persistence in mean
Kunita’s inequality
topic Epidemic model
Infinite activity
Relapse
Extinction
Persistence in mean
Kunita’s inequality
description The objective of this paper is to study a stochastic epidemiological model with infinite Lévy measure and relapse. Using stochastic tools, we prove the existence and uniqueness of global positive solution. Moreover, we also show the extinction and persistence in mean of the disease by the use of Kunita’s inequality instead of Burkholder–Davis–Gundy inequality for continuous diffusions. The numerical behavior of the considered model is analyzed to understand the impact of environmental transmission on the spread of human and zonotic tuberculosis in Morocco.
publishDate 2023
dc.date.none.fl_str_mv 2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/156124
https://doi.org/10.1016/j.chaos.2024.114531
url https://hdl.handle.net/11441/156124
https://doi.org/10.1016/j.chaos.2024.114531
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Chaos, Solitons & Fractals, 180, 114531-1.
https://doi.org/10.1016/j.chaos.2024.114531
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869405909199880192
score 15,812429

Similares en LA Referencia