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Modeling The Dynamics Of Stochastic Norovirus Epidemic Model With Time Delay

Author

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  • YE WANG

    (Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China2Institute for Advanced Study Honoring Chen Jian Gong, Hangzhou Normal University, Hangzhou 311121, P. R. China)

  • THABET ABDELJAWAD

    (Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia4China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • ANWARUD DIN

    (Department of Mathematics, Sun Yat-Sen University, Guangzhou 510275, P. R. China)

Abstract

In this work, we study the norovirus (NoV) epidemic model with random perturbations and a time delay. First of all, the existence and uniqueness of the global positive solution are obtained. Then, we derive sufficient conditions for the extinction of the disease. Moreover, by establishing appropriate Lyapunov function, the existence of a stationary distribution is discussed. Some numerical simulations are given to illustrate our analytical results.

Suggested Citation

  • Ye Wang & Thabet Abdeljawad & Anwarud Din, 2022. "Modeling The Dynamics Of Stochastic Norovirus Epidemic Model With Time Delay," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(05), pages 1-13, August.
    • Handle: RePEc:wsi:fracta:v:30:y:2022:i:05:n:s0218348x22401508
    DOI: 10.1142/S0218348X22401508
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    Cited by:

    1. Alkhazzan, Abdulwasea & Wang, Jungang & Nie, Yufeng & Khan, Hasib & Alzabut, Jehad, 2024. "A novel SIRS epidemic model for two diseases incorporating treatment functions, media coverage, and three types of noise," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    2. Liu, Qun & Jiang, Daqing, 2023. "Stationary distribution and probability density for a stochastic SEIR-type model of coronavirus (COVID-19) with asymptomatic carriers," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

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