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

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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Main Authors: Jaouad Danane, Karam Allali, Zakia Hammouch, Kottakkaran Sooppy Nisar
Format: Article
Language:English
Published: Elsevier 2021-04-01
Series:Results in Physics
Subjects:
COVID-19
Lévy jump
White noise
Isolation strategy
Basic reproduction number
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379721001637
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spelling doaj-5748c1277a2f499283e4a3e9c3ad340f2021-04-12T04:23:06ZengElsevierResults in Physics2211-37972021-04-0123103994Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategyJaouad Danane0Karam Allali1Zakia Hammouch2Kottakkaran Sooppy Nisar3Laboratory of Systems Modelization and Analysis for Decision Support, National School of Applied Sciences, Hassan First University, Berrechid, MoroccoLaboratory of Mathematics and Applications, Faculty of Sciences and Techniques, Mohammedia, University Hassan II-Casablanca, PO Box 146, Mohammedia, MoroccoDivision of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Viet Nam; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan; Ecole Normale Supérieure, Moulay Ismail University of Meknes, 5000, MoroccoDepartment of Mathematics, College of Arts and Sciences, Wadi Aldawaser 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia; Corresponding author.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.http://www.sciencedirect.com/science/article/pii/S2211379721001637COVID-19Lévy jumpWhite noiseIsolation strategyBasic reproduction number
collection DOAJ
language English
format Article
sources DOAJ
author Jaouad Danane
Karam Allali
Zakia Hammouch
Kottakkaran Sooppy Nisar
spellingShingle Jaouad Danane
Karam Allali
Zakia Hammouch
Kottakkaran Sooppy Nisar
Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy
Results in Physics
COVID-19
Lévy jump
White noise
Isolation strategy
Basic reproduction number
author_facet Jaouad Danane
Karam Allali
Zakia Hammouch
Kottakkaran Sooppy Nisar
author_sort Jaouad Danane
title 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_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_sort mathematical analysis and simulation of a stochastic covid-19 lévy jump model with isolation strategy
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2021-04-01
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.
topic COVID-19
Lévy jump
White noise
Isolation strategy
Basic reproduction number
url http://www.sciencedirect.com/science/article/pii/S2211379721001637
work_keys_str_mv AT jaouaddanane mathematicalanalysisandsimulationofastochasticcovid19levyjumpmodelwithisolationstrategy
AT karamallali mathematicalanalysisandsimulationofastochasticcovid19levyjumpmodelwithisolationstrategy
AT zakiahammouch mathematicalanalysisandsimulationofastochasticcovid19levyjumpmodelwithisolationstrategy
AT kottakkaransooppynisar mathematicalanalysisandsimulationofastochasticcovid19levyjumpmodelwithisolationstrategy
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