Abstract
In this study, we propose a stochastic SEIQR infectious disease model driven by Lévy noise. Firstly, we study the existence and uniqueness of the global positive solution of the model by using the stop-time. Secondly, the asymptotic behavior of the stochastic system at disease-free equilibrium and endemic equilibrium are discussed. Then, the sufficient condition for persistence under the time mean is studied. Finally, our theoretical results are verified by numerical simulation.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Guizhou Province
Natural Science Fundation of Guizhou Province Education Department
PhD Project of Guizhou Education University
Publisher
Public Library of Science (PLoS)
Reference24 articles.
1. A contribution to the mathematical theory of epidemics. Proceedings of the royal society of london;WO Kermack;Series A, Containing papers of a mathematical and physical character,1927
2. Analytical solution of SEIR model describing the free spread of the COVID-19 pandemic;N Piovella;Chaos, Solitons & Fractals,2020
3. Dynamic analysis of a stochastic SEQIR model and application in the COVID-19 pandemic;S Liu;Discrete Dynamics in Nature and Society,2021
4. Stability of a stochastic SIR system;E Tornatore;Physica A: Statistical Mechanics and its Applications,2005
5. Existence and uniqueness of a kind of stochastic SIRS model;M Xu;Advanced Materials Research,2012