Geodesic
Analysis of Fractional Order Mathematical Modelling of HFMD Transmission through ABC Derivative
Mathematica Applicanda, Tome 51 (2023) no. 2, pp. 199-221 Cet article a éte moissonné depuis la source Annales Societatis Mathematicae Polonae Series

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The mathematical modelling of Hand, Foot, and Mouth Disease (HFMD) transmission using fractional-order calculus, especially the Atangana-Baleanu derivative, is investigated in this paper. HFMD is a viral illness that usually affects premature children and can have serious consequences. Conventional models based on integer-order derivatives have limitations in capturing the intricate dynamics of HFMD transmission accurately. Fractional-order calculus is employed in this study to enhance the modelling precision by incorporating memory and hereditary effects into the system. The Atangana-Baleanu derivative is used to explain fractional differentiation, allowing for a more accurate representation of disease processes. The proposed model is analyzed using analytical techniques to evaluate its stability, existence, and uniqueness. The findings contribute to an improved understanding of HFMD transmission dynamics and provide insights into effective control strategies for disease mitigation. In this work, the use of Atangana-Baleanu derivative indicates their potential for improving the accuracy as well as validity of mathematical models.
DOI : 10.14708/ma.v51i2.7229
Classification : 92B05, 34A08
Mots-clés : HFMD model, Mathematical modelling, Fractional order, Existence and uniqueness, Stability analysis. 
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Mohandoss Aakash; Chandrasekar Gunasundari. Analysis of Fractional Order Mathematical Modelling of HFMD Transmission through ABC Derivative. Mathematica Applicanda, Tome 51 (2023) no. 2, pp.  199-221. doi: 10.14708/ma.v51i2.7229

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