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

Jaouad Danane; Karam Allali; Zakia Hammouch; Kottakkaran Sooppy Nisar

doi:10.1016/j.rinp.2021.103994

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

Jaouad Danane
, Karam Allali
, Zakia Hammouch
, Kottakkaran Sooppy Nisar

Mathematics

Research output: Contribution to journal › Article › peer-review

75 Scopus citations

Abstract

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.

Original language	English
Article number	103994
Journal	Results in Physics
Volume	23
DOIs	https://doi.org/10.1016/j.rinp.2021.103994
State	Published - Apr 2021

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 3 Good Health and Well-being

Keywords

Basic reproduction number
COVID-19
Isolation strategy
Lévy jump
White noise

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10.1016/j.rinp.2021.103994

Cite this

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title = "Mathematical analysis and simulation of a stochastic COVID-19 L{\'e}vy jump model with isolation strategy",

abstract = "This paper investigates the dynamics of a COVID-19 stochastic model with isolation strategy. The white noise as well as the L{\'e}vy 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.",

keywords = "Basic reproduction number, COVID-19, Isolation strategy, L{\'e}vy jump, White noise",

author = "Jaouad Danane and Karam Allali and Zakia Hammouch and Nisar, \{Kottakkaran Sooppy\}",

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doi = "10.1016/j.rinp.2021.103994",

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AU - Danane, Jaouad

AU - Allali, Karam

AU - Hammouch, Zakia

AU - Nisar, Kottakkaran Sooppy

PY - 2021/4

Y1 - 2021/4

N2 - 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.

AB - 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.

KW - Basic reproduction number

KW - COVID-19

KW - Isolation strategy

KW - Lévy jump

KW - White noise

UR - https://www.scopus.com/pages/publications/85102367325

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DO - 10.1016/j.rinp.2021.103994

M3 - Article

AN - SCOPUS:85102367325

SN - 2211-3797

VL - 23

JO - Results in Physics

JF - Results in Physics

M1 - 103994

ER -

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

Abstract

UN SDGs

Keywords

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