A stochastic analysis for a triple delayed SIQR epidemic model with vaccination and elimination strategies

In this paper, a delayed SIQR epidemic model with vaccination and elimination hybrid strategies is analysed under a white noise perturbation. We prove the existence and the uniqueness of a positive solution. Afterwards, we establish a stochastic threshold [Formula: see text] in order to study the ex...

Descripción completa

Detalles Bibliográficos
Autores principales: El Fatini, Mohamed, Pettersson, Roger, Sekkak, Idriss, Taki, Regragui
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2020
Materias:
Original Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7318735/
https://www.ncbi.nlm.nih.gov/pubmed/32837464
http://dx.doi.org/10.1007/s12190-020-01380-1
_version_ 1783550921715744768
author El Fatini, Mohamed
Pettersson, Roger
Sekkak, Idriss
Taki, Regragui
author_facet El Fatini, Mohamed
Pettersson, Roger
Sekkak, Idriss
Taki, Regragui
author_sort El Fatini, Mohamed
collection PubMed
description In this paper, a delayed SIQR epidemic model with vaccination and elimination hybrid strategies is analysed under a white noise perturbation. We prove the existence and the uniqueness of a positive solution. Afterwards, we establish a stochastic threshold [Formula: see text] in order to study the extinction and persistence in mean of the stochastic epidemic system. Then we investigate the existence of a stationary distribution for the delayed stochastic model. Finally, some numerical simulations are presented to support our theoretical results.
format Online
Article
Text
id pubmed-7318735
institution National Center for Biotechnology Information
language English
publishDate 2020
publisher Springer Berlin Heidelberg
record_format MEDLINE/PubMed
spelling pubmed-73187352020-06-29 A stochastic analysis for a triple delayed SIQR epidemic model with vaccination and elimination strategies El Fatini, Mohamed Pettersson, Roger Sekkak, Idriss Taki, Regragui J Appl Math Comput Original Research In this paper, a delayed SIQR epidemic model with vaccination and elimination hybrid strategies is analysed under a white noise perturbation. We prove the existence and the uniqueness of a positive solution. Afterwards, we establish a stochastic threshold [Formula: see text] in order to study the extinction and persistence in mean of the stochastic epidemic system. Then we investigate the existence of a stationary distribution for the delayed stochastic model. Finally, some numerical simulations are presented to support our theoretical results. Springer Berlin Heidelberg 2020-06-26 2020 /pmc/articles/PMC7318735/ /pubmed/32837464 http://dx.doi.org/10.1007/s12190-020-01380-1 Text en © Korean Society for Informatics and Computational Applied Mathematics 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Original Research
El Fatini, Mohamed
Pettersson, Roger
Sekkak, Idriss
Taki, Regragui
A stochastic analysis for a triple delayed SIQR epidemic model with vaccination and elimination strategies
title A stochastic analysis for a triple delayed SIQR epidemic model with vaccination and elimination strategies
title_full A stochastic analysis for a triple delayed SIQR epidemic model with vaccination and elimination strategies
title_fullStr A stochastic analysis for a triple delayed SIQR epidemic model with vaccination and elimination strategies
title_full_unstemmed A stochastic analysis for a triple delayed SIQR epidemic model with vaccination and elimination strategies
title_short A stochastic analysis for a triple delayed SIQR epidemic model with vaccination and elimination strategies
title_sort stochastic analysis for a triple delayed siqr epidemic model with vaccination and elimination strategies
topic Original Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7318735/
https://www.ncbi.nlm.nih.gov/pubmed/32837464
http://dx.doi.org/10.1007/s12190-020-01380-1
work_keys_str_mv AT elfatinimohamed astochasticanalysisforatripledelayedsiqrepidemicmodelwithvaccinationandeliminationstrategies
AT petterssonroger astochasticanalysisforatripledelayedsiqrepidemicmodelwithvaccinationandeliminationstrategies
AT sekkakidriss astochasticanalysisforatripledelayedsiqrepidemicmodelwithvaccinationandeliminationstrategies
AT takiregragui astochasticanalysisforatripledelayedsiqrepidemicmodelwithvaccinationandeliminationstrategies
AT elfatinimohamed stochasticanalysisforatripledelayedsiqrepidemicmodelwithvaccinationandeliminationstrategies
AT petterssonroger stochasticanalysisforatripledelayedsiqrepidemicmodelwithvaccinationandeliminationstrategies
AT sekkakidriss stochasticanalysisforatripledelayedsiqrepidemicmodelwithvaccinationandeliminationstrategies
AT takiregragui stochasticanalysisforatripledelayedsiqrepidemicmodelwithvaccinationandeliminationstrategies

Ejemplares similares