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Dynamics of a stochastic SEIQR model driven by Lévy jumps with bilinear incidence rates
1School of Mathematics and Statistics, Guizhou University, Guiyang, China.
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.
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