Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy

This paper investigates the dynamics of a COVID-19 stochastic model with isolation strategy. The white noise as well as the Lévy jump perturbations are incorporated in all compartments of the suggested model. First, the existence and uniqueness of a global positive solution are proven. Next, the sto...

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Autores principales: Danane, Jaouad, Allali, Karam, Hammouch, Zakia, Nisar, Kottakkaran Sooppy
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Author(s). Published by Elsevier B.V. 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7929785/
https://www.ncbi.nlm.nih.gov/pubmed/33686366
http://dx.doi.org/10.1016/j.rinp.2021.103994
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author Danane, Jaouad
Allali, Karam
Hammouch, Zakia
Nisar, Kottakkaran Sooppy
author_facet Danane, Jaouad
Allali, Karam
Hammouch, Zakia
Nisar, Kottakkaran Sooppy
author_sort Danane, Jaouad
collection PubMed
description This paper investigates the dynamics of a COVID-19 stochastic model with isolation strategy. The white noise as well as the Lévy jump perturbations are incorporated in all compartments of the suggested model. First, the existence and uniqueness of a global positive solution are proven. Next, the stochastic dynamic properties of the stochastic solution around the deterministic model equilibria are investigated. Finally, the theoretical results are reinforced by some numerical simulations.
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spelling pubmed-79297852021-03-04 Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy Danane, Jaouad Allali, Karam Hammouch, Zakia Nisar, Kottakkaran Sooppy Results Phys Article This paper investigates the dynamics of a COVID-19 stochastic model with isolation strategy. The white noise as well as the Lévy jump perturbations are incorporated in all compartments of the suggested model. First, the existence and uniqueness of a global positive solution are proven. Next, the stochastic dynamic properties of the stochastic solution around the deterministic model equilibria are investigated. Finally, the theoretical results are reinforced by some numerical simulations. The Author(s). Published by Elsevier B.V. 2021-04 2021-03-04 /pmc/articles/PMC7929785/ /pubmed/33686366 http://dx.doi.org/10.1016/j.rinp.2021.103994 Text en © 2021 The Author(s) Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Danane, Jaouad
Allali, Karam
Hammouch, Zakia
Nisar, Kottakkaran Sooppy
Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy
title Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy
title_full Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy
title_fullStr Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy
title_full_unstemmed Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy
title_short Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy
title_sort mathematical analysis and simulation of a stochastic covid-19 lévy jump model with isolation strategy
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7929785/
https://www.ncbi.nlm.nih.gov/pubmed/33686366
http://dx.doi.org/10.1016/j.rinp.2021.103994
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AT allalikaram mathematicalanalysisandsimulationofastochasticcovid19levyjumpmodelwithisolationstrategy
AT hammouchzakia mathematicalanalysisandsimulationofastochasticcovid19levyjumpmodelwithisolationstrategy
AT nisarkottakkaransooppy mathematicalanalysisandsimulationofastochasticcovid19levyjumpmodelwithisolationstrategy

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