ArticleAdvances in difference equations2021
The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation.
Article in Advances in difference equations, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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12 citing papers in PubMed, 38 citations in OpenAlex.
- Conservative Numerical Framework for Fractional Stochastic Delay Modeling of CSF-1/EGF Tumor-Macrophage Aggregation.International journal for numerical methods in biomedical engineering · 2026Article
- Mathematical model of the lumpy skin disease using Caputo fractional-order derivative via invariant point technique.Scientific reports · 2025Article
- Numerical solutions of a fractional order SEIR epidemic model of measles under Caputo fractional derivative.PloS one · 2025Article
- Quantitative relationships between national cultures and the increase in cases of novel coronavirus pneumonia.Scientific reports · 2023Article
- A method for forecasting the number of hospitalized and deceased based on the number of newly infected during a pandemic.Scientific reports · 2022Article
- A proposed fractional dynamic system and Monte Carlo-based back analysis for simulating the spreading profile of COVID-19.The European physical journal. Special topics · 2022Article
- A particle swarm optimization approach for predicting the number of COVID-19 deaths.Scientific reports · 2021Review
- A modifiedResults in physics · 2021Article
- Development of Explicit Schemes for Diffusive SEAIR COVID-19 Epidemic Spreading Model: An Application to Computational Biology.Iranian journal of science and technology. Transaction A, Science · 2021Article
- Threshold dynamics of difference equations for SEIR model with nonlinear incidence function and infinite delay.European physical journal plus · 2021Article
- On the dynamical modeling of COVID-19 involving Atangana-Baleanu fractional derivative and based on Daubechies framelet simulations.Chaos, solitons, and fractals · 2020Article
- An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations.Entropy (Basel, Switzerland) · 2020Article
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3 authors at 3 institutions in 3 countries.
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Abstract
The well-known novel virus (COVID-19) is a new strain of coronavirus family, declared by the World Health Organization (WHO) as a dangerous epidemic. More than 3.5 million positive cases and 250 thousand deaths (up to May 5, 2020) caused by COVID-19 and has affected more than 280 countries over the world. Therefore studying the prediction of this virus spreading in further attracts a major public attention. In the Arab Emirates (UAE), up to the same date, there are 14,730 positive cases and 137 deaths according to national authorities. In this work, we study a dynamical model based on the fractional derivatives of nonlinear equations that describe the outbreak of COVID-19 according to the available infection data announced and approved by the national committee in the press. We simulate the available total cases reported based on Riesz wavelets generated by some refinable functions, namely the smoothed pseudosplines of types I and II with high vanishing moments. Based on these data, we also consider the formulation of the pandemic model using the Caputo fractional derivative. Then we numerically solve the nonlinear system that describes the dynamics of COVID-19 with given resources based on the collocation Riesz wavelet system constructed. We present graphical illustrations of the numerical solutions with parameters of the model handled under different situations. We anticipate that these results will contribute to the ongoing research to reduce the spreading of the virus and infection cases.
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