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

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

Results Phys

Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser 11991, Prince Sattam bin Abdulaziz University, Saudi Arabia.

Published: April 2021

AI Article Synopsis

  • This paper looks at a COVID-19 model that includes randomness and isolation strategies to better understand the disease's spread.
  • The study proves that a unique global positive solution exists for the model, ensuring that the results are reliable.
  • Additionally, it explores how the stochastic solution behaves in relation to the steady states of the deterministic model, supported by numerical simulations for further validation.

Article 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.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC7929785PMC
http://dx.doi.org/10.1016/j.rinp.2021.103994DOI Listing

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