ArticleScientific reports2021
Fractal-fractional and stochastic analysis of norovirus transmission epidemic model with vaccination effects.
Article in Scientific reports, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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5 citing papers in PubMed.
- Numerical modeling and simulation of stochastic fractional order model for COVID-19 infection in Mittag-Leffler kernel.Scientific reports · 2025Article
- Numerical solutions for norovirus epidemic spread: implications for public health control.Scientific reports · 2025Article
- Fractional modeling and numerical investigations of COVID-19 epidemic model with non-singular fractional derivatives: a case study.Scientific reports · 2025Article
- Comprehensive analysis of a stochastic wireless sensor network motivated by Black-Karasinski process.Scientific reports · 2024Article
- Theoretical and numerical analysis of COVID-19 pandemic model with non-local and non-singular kernels.Scientific reports · 2022Article
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3 authors.
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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.
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