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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Bibliographic Details
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
Description
Summary: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.
ISSN:2211-3797

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