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  • 标题:Fractal–fractional and stochastic analysis of norovirus transmission epidemic model with vaccination effects
  • 本地全文:下载
  • 作者:Ting Cui ; Peijiang Liu ; Anwarud Din
  • 期刊名称:Scientific Reports
  • 电子版ISSN:2045-2322
  • 出版年度:2021
  • 卷号:11
  • DOI:10.1038/s41598-021-03732-8
  • 语种:English
  • 出版社:Springer Nature
  • 摘要:In this paper, we investigate an norovirus (NoV) epidemic model with stochastic perturbation and the new definition of a nonlocal fractal–fractional derivative in the Atangana–Baleanu–Caputo (ABC) sense. First we present some basic properties including equilibria and the basic reproduction number of the model. Further, we analyze that the proposed stochastic system has a unique global positive solution. Next, the sufficient conditions of the extinction and the existence of a stationary probability measure for the disease are established. Furthermore, the fractal–fractional dynamics of the proposed model under Atangana–Baleanu–Caputo (ABC) derivative of fractional order “ \documentclass[12pt
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