ArticleResults in physics2020
Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator.
Article in Results in physics, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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10 citing papers in PubMed, 36 citations in OpenAlex.
- The role of a vaccine booster for a fractional order model of the dynamic of COVID-19: a case study in Thailand.Scientific reports · 2025Article
- Analysis of Hybrid NAR-RBFs Networks for complex non-linear Covid-19 model with fractional operators.BMC infectious diseases · 2024Article
- Article
- Modeling nosocomial infection of COVID-19 transmission dynamics.Results in physics · 2022Article
- Swarming morlet wavelet neural network procedures for the mathematical robot system.Informatics in medicine unlocked · 2022Article
- Modeling of fractional-order COVID-19 epidemic model with quarantine and social distancing.Mathematical methods in the applied sciences · 2021Article
- Stability analysis and simulation of the novel Corornavirus mathematical model via the Caputo fractional-order derivative: A case study of Algeria.Results in physics · 2021Article
- Analysis, modeling and optimal control of COVID-19 outbreak with three forms of infection in Democratic Republic of the Congo.Results in physics · 2021Article
- Fractal-fractional mathematical modeling and forecasting of new cases and deaths of COVID-19 epidemic outbreaks in India.Results in physics · 2021Article
- Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo-Fabrizio derivative.Advances in difference equations · 2021Article
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Authors and funding
7 authors at 4 institutions in 5 countries.
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Abstract
A mathematical model for the spread of the COVID-19 disease based on a fractional Atangana-Baleanu operator is studied. Some fixed point theorems and generalized Gronwall inequality through the AB fractional integral are applied to obtain the existence and stability results. The fractional Adams-Bashforth is used to discuss the corresponding numerical results. A numerical simulation is presented to show the behavior of the approximate solution in terms of graphs of the spread of COVID-19 in the Chinese city of Wuhan. We simulate our table for the data of Wuhan from February 15, 2020 to April 25, 2020 for 70 days. Finally, we present a debate about the followed simulation in characterizing how the transmission dynamics of infection can take place in society.
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