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Impact of Levy noise on a stochastic Norovirus epidemic model with information intervention

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  • Ting Cui
  • Anwarud Din
  • Peijiang Liu
  • Amir Khan

Abstract

In this article, we study the dynamics of Norovirus infection by developing a stochastic epidemic model having Levy noise. The study shows that Levy noise and informative interventions have more influence on the said dynamics. Firstly, we show that the model has a unique global positive solution. After this, we formulated a stochastic threshold value as a necessary condition for the extinction and persistence in the mean of the proposed epidemic model. Finally, numerical simulation are drawn to verify our obtained results of the dynamics. The perturbed stochastic approach may affect the dynamical properties of the model and large noises will be greatly significant to minimize its transmission.

Suggested Citation

  • Ting Cui & Anwarud Din & Peijiang Liu & Amir Khan, 2023. "Impact of Levy noise on a stochastic Norovirus epidemic model with information intervention," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 26(9), pages 1086-1099, July.
  • Handle: RePEc:taf:gcmbxx:v:26:y:2023:i:9:p:1086-1099
    DOI: 10.1080/10255842.2022.2106784
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