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

doi:10.1016/j.rinp.2021.103994

Results in Physics

Volume 23, April 2021, 103994

https://doi.org/10.1016/j.rinp.2021.103994 Get rights and content

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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

COVID-19

Lévy jump

White noise

Isolation strategy

Basic reproduction number