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

Results Phys. 2021 Apr:23:103994. doi: 10.1016/j.rinp.2021.103994. Epub 2021 Mar 4.

Authors

Jaouad Danane¹, Karam Allali², Zakia Hammouch³, Kottakkaran Sooppy Nisar⁴

Affiliations

¹ Laboratory of Systems Modelization and Analysis for Decision Support, National School of Applied Sciences, Hassan First University, Berrechid, Morocco.
² Laboratory of Mathematics and Applications, Faculty of Sciences and Techniques, Mohammedia, University Hassan II-Casablanca, PO Box 146, Mohammedia, Morocco.
³ Division of Applied Mathematics, Thu Dau Mot University, Binh Duong Province, Viet Nam.
⁴ Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia.

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.

Keywords: Basic reproduction number; COVID-19; Isolation strategy; Lévy jump; White noise.