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
Published in:Results in physics 2021-04, Vol.23, p.103994-103994, Article 103994
Main Authors: Danane, Jaouad, Allali, Karam, Hammouch, Zakia, Nisar, Kottakkaran Sooppy
Format: Article
Language:English
Subjects:
Basic reproduction number
COVID-19
Isolation strategy
Lévy jump
White noise
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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
2211-3797
DOI:10.1016/j.rinp.2021.103994