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Analysis of the stochastic model for predicting the novel coronavirus disease

Ndolane Sene

2020Advances in Difference Equations49 citationsDOIOpen Access PDF

Abstract

In this paper, we propose a mathematical model to predict the novel coronavirus. Due to the rapid spread of the novel coronavirus disease in the world, we add to the deterministic model of the coronavirus the terms of the stochastic perturbations. In other words, we consider in this paper a stochastic model to predict the novel coronavirus. The equilibrium points of the deterministic model have been determined, and the reproduction number of our deterministic model has been implemented. The asymptotic behaviors of the solutions of the stochastic model around the equilibrium points have been studied. The numerical investigations and the graphical representations obtained with the novel stochastic model are made using the classical stochastic numerical scheme.

Topics & Concepts

Stochastic modellingOrdinary differential equationApplied mathematicsCoronavirusBasic reproduction numberMathematicsStochastic processEpidemic modelStochastic differential equationDeterministic system (philosophy)Mathematical optimizationComputer scienceCoronavirus disease 2019 (COVID-19)Statistical physicsDifferential equationMathematical analysisDiseaseInfectious disease (medical specialty)StatisticsPhysicsQuantum mechanicsSociologyMedicinePathologyDemographyPopulationCOVID-19 epidemiological studiesMathematical Biology Tumor GrowthMathematical and Theoretical Epidemiology and Ecology Models
Analysis of the stochastic model for predicting the novel coronavirus disease | Litcius