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

Qiuye Xia and Xiaoling Qiu

PLOS ONE, 2024, vol. 19, issue 6, 1-16

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.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0305139

DOI: 10.1371/journal.pone.0305139

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