ArticleComputational and mathematical methods in medicine2022
Analysis and Simulation of Fractional Order Smoking Epidemic Model.
Article in Computational and mathematical methods in medicine, 2022. 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.
- Smoking dynamics with media awareness to control the prevalence of bad effect through fractional operator study.MethodsX · 2025Article
- Modelling epidemiological dynamics with pseudo-recovery via fractional-order derivative operator and optimal control measures.PloS one · 2025Article
- Modeling the behavior of a generalized Cholera epidemic model with asymptomatic measures for early detection.PloS one · 2025Article
- Flip bifurcation analysis and mathematical modeling of cholera disease by taking control measures.Scientific reports · 2024Article
- A novel technique to study the solutions of time fractional nonlinear smoking epidemic model.Scientific reports · 2024Article
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6 authors.
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Abstract
In recent years, there are many new definitions that were proposed related to fractional derivatives, and with the help of these definitions, mathematical models were established to overcome the various real-life problems. The true purpose of the current work is to develop and analyze Atangana-Baleanu (AB) with Mittag-Leffler kernel and Atangana-Toufik method (ATM) of fractional derivative model for the Smoking epidemic. Qualitative analysis has been made to `verify the steady state. Stability analysis has been made using self-mapping and Banach space as well as fractional system is analyzed locally and globally by using first derivative of Lyapunov. Also derive a unique solution for fractional-order model which is a new approach for such type of biological models. A few numerical simulations are done by using the given method of fractional order to explain and support the theoretical results.
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