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

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  • Qiuye Xia
  • Xiaoling Qiu

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.

Suggested Citation

  • Qiuye Xia & Xiaoling Qiu, 2024. "Dynamics of a stochastic SEIQR model driven by Lévy jumps with bilinear incidence rates," PLOS ONE, Public Library of Science, vol. 19(6), pages 1-16, June.
    • Handle: RePEc:plo:pone00:0305139
    DOI: 10.1371/journal.pone.0305139
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    References listed on IDEAS

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    3. Hattaf, Khalid & Mahrouf, Marouane & Adnani, Jihad & Yousfi, Noura, 2018. "Qualitative analysis of a stochastic epidemic model with specific functional response and temporary immunity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 591-600.
    4. Tornatore, Elisabetta & Maria Buccellato, Stefania & Vetro, Pasquale, 2005. "Stability of a stochastic SIR system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 111-126.
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