Dynamics of a stochastic SEIQR model driven by Lévy jumps with bilinear incidence rates

Author:

Xia Qiuye,Qiu XiaolingORCID

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)

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