Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy
Jaouad Danane, Karam Allali, Zakia Hammouch, Kottakkaran Sooppy Nisar
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.
Topics & Concepts
UniquenessJumpWhite noiseIsolation (microbiology)Stochastic modellingStatistical physicsEpidemic modelCoronavirus disease 2019 (COVID-19)Applied mathematicsMathematicsPhysicsMathematical analysisStatisticsBiologyBioinformaticsDemographyPopulationSociologyInfectious disease (medical specialty)Quantum mechanicsDiseasePathologyMedicineMathematical and Theoretical Epidemiology and Ecology ModelsCOVID-19 epidemiological studiesFractional Differential Equations Solutions