ArticleAdvances in difference equations2021
Analysis of Atangana-Baleanu fractional-order SEAIR epidemic model with optimal control.
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 8 papers.
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8 citing papers in PubMed.
- Fractional-order modeling of HIV/AIDS dynamics in the working-class population using the ABC operator.BMC infectious diseases · 2026Article
- A novel ABC fractional-order mathematical model for malaria transmission dynamics incorporating treatment-seeking behavior.PloS one · 2025Article
- Exploring optimal control strategies in a nonlinear fractional bi-susceptible model for Covid-19 dynamics using Atangana-Baleanu derivative.Scientific reports · 2024Article
- Article
- Fractional optimal control strategies for hepatitis B virus infection with cost-effectiveness analysis.Scientific reports · 2023Article
- Modeling and analysis for the transmission dynamics of cotton leaf curl virus using fractional order derivatives.Heliyon · 2023Article
- On nonlinear dynamics of a fractional order monkeypox virus model.Chaos, solitons, and fractals · 2022Article
- Mathematical analysis and simulation of an ABC fractional Zika virus model with natural transform and stability assessment.Science progressArticle
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2 authors.
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Abstract
We consider a SEAIR epidemic model with Atangana-Baleanu fractional-order derivative. We approximate the solution of the model using the numerical scheme developed by Toufic and Atangana. The numerical simulation corresponding to several fractional orders shows that, as the fractional order reduces from 1, the spread of the endemic grows slower. Optimal control analysis and simulation show that the control strategy designed is operative in reducing the number of cases in different compartments. Moreover, simulating the optimal profile revealed that reducing the fractional-order from 1 leads to the need for quick starting of the application of the designed control strategy at the maximum possible level and maintaining it for the majority of the period of the pandemic.
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