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- W4200017438 abstract "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 [Formula: see text] and fractal dimension [Formula: see text] have also been addressed. Besides, coupling the non-linear functional analysis with fixed point theory, the qualitative analysis of the proposed model has been performed. The numerical simulations are carried out to demonstrate the analytical results. It is believed that this study will comprehensively strengthen the theoretical basis for comprehending the dynamics of the worldwide contagious diseases." @default.
- W4200017438 created "2021-12-31" @default.
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- W4200017438 date "2021-12-21" @default.
- W4200017438 modified "2023-10-14" @default.
- W4200017438 title "Fractal–fractional and stochastic analysis of norovirus transmission epidemic model with vaccination effects" @default.
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- W4200017438 doi "https://doi.org/10.1038/s41598-021-03732-8" @default.
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