Stochastic Epidemic Model for COVID-19 Transmission under Intervention Strategies in China

In this paper, we discuss an EIQJR model with stochastic perturbation. First, a globally positive solution of the proposed model has been discussed. In addition, the global asymptotic stability and exponential mean-square stability of the disease-free equilibrium have been proven under suitable cond...

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Bibliographic Details
Main Authors: Zin Thu Win, Mahmoud A. Eissa, Boping Tian
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/17/3119
Description
Summary:In this paper, we discuss an EIQJR model with stochastic perturbation. First, a globally positive solution of the proposed model has been discussed. In addition, the global asymptotic stability and exponential mean-square stability of the disease-free equilibrium have been proven under suitable conditions for our model. This means that the disease will die over time. We investigate the asymptotic behavior around the endemic equilibrium of the deterministic model to show when the disease will prevail. Constructing a suitable Lyapunov functional method is crucial to our investigation. Parameter estimations and numerical simulations are performed to depict the transmission process of COVID-19 pandemic in China and to support analytical results.
ISSN:2227-7390