ArticleChaos, solitons, and fractals2021
Mathematical modeling of coronavirus disease COVID-19 dynamics using CF and ABC non-singular fractional derivatives.
Article in Chaos, solitons, and fractals, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.
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17 citing papers in PubMed.
- Fractal-fractional model for analysis of tuberculosis infection using Ethiopia incidence data.Quantitative biology (Beijing, China) · 2026Article
- Implantable Self-Powered Systems for Electrical Stimulation Medical Devices.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2025Review
- Mathematical model of the lumpy skin disease using Caputo fractional-order derivative via invariant point technique.Scientific reports · 2025Article
- 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
- Global stability and analysing the sensitivity of parameters of a multiple-susceptible population model of SARS-CoV-2 emphasising vaccination drive.Mathematics and computers in simulation · 2023Article
- Analysis of mathematical model involving nonlinear systems of Caputo-Fabrizio fractional differential equation.Boundary value problems · 2023Article
- Fractional order epidemiological model of SARS-CoV-2 dynamism involving Alzheimer's disease.Healthcare analytics (New York, N.Y.) · 2022Article
- Optimal control and cost-effectiveness analysis for a COVID-19 model with individual protection awareness.Physica A · 2022Article
- A fractional-order model with different strains of COVID-19.Physica A · 2022Article
- Fractal-fractional operator for COVID-19 (Omicron) variant outbreak with analysis and modeling.Results in physics · 2022Article
- Modeling and forecasting the total number of cases and deaths due to pandemic.Journal of medical virology · 2022Article
- Mathematical modeling and stability analysis of the COVID-19 with quarantine and isolation.Results in physics · 2022Article
- Modeling and optimal control of mutated COVID-19 (Delta strain) with imperfect vaccination.Chaos, solitons, and fractals · 2022Article
- Modeling and dynamic analysis of novel coronavirus pneumonia (COVID-19) in China.Journal of applied mathematics & computing · 2022Article
- Mathematical assessment of the dynamics of novel coronavirus infection with treatment: A fractional study.Chaos, solitons, and fractals · 2021Article
- A dynamical study of SARS-COV-2: A study of third wave.Results in physics · 2021Article
- A fractional order Covid-19 epidemic model with Mittag-Leffler kernel.Chaos, solitons, and fractals · 2021Article
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3 authors.
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Abstract
In this article, Coronavirus Disease COVID-19 transmission dynamics were studied to examine the utility of the SEIR compartmental model, using two non-singular kernel fractional derivative operators. This method was used to evaluate the complete memory effects within the model. The Caputo-Fabrizio (CF) and Atangana-Baleanu models were used predicatively, to demonstrate the possible long-term trajectories of COVID-19. Thus, the expression of the basic reproduction number using the next generating matrix was derived. We also investigated the local stability of the equilibrium points. Additionally, we examined the existence and uniqueness of the solution for both extensions of these models. Comparisons of these two epidemic modeling approaches (i.e. CF and ABC fractional derivative) illustrated that, for non-integer
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