Analysis of Fractional Order Mathematical Modelling of HFMD Transmission through ABC Derivative

• Autorzy: Aakash Mohandoss , Gunasundari Chandrasekar

Identyfikatory

DOI

10.14708/ma.v51i2.7229

Warianty tytułu

PL

Analiza modelu matematycznego ułamkowego rzędu transmisji choroby HFMD z wykorzystaniem pochodnej ABC

• Języki publikacji: EN

Abstrakty

EN

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.

PL

Słowa kluczowe

EN

HFMD model; Mathematical modelling; Fractional order; Existence and uniqueness; Stability analysis

PL

modele przenoszenia chorób; choroby dłoni, stóp i jamy ustnej; modelowanie matematyczne; istnienie i jednoznaczność; stabilność modelu

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Mathematica Applicanda
• Rocznik: 2023
• Tom: Vol. 51, no. 2
• Strony: 199--221
• Opis fizyczny: Bibliogr. 25 poz., rys.

Twórcy

autor

Aakash Mohandoss

• College of Engineering and Technology Department of Mathematics SRM Institute of Science and Technology Kattankulathur, Chengalpattu, 603203, India

• https://orcid.org/0000-0001-7354-9107+

autor

Gunasundari Chandrasekar

• Anna University Department of Mathematics Chennai 600025, India

• https://orcid.org/0000-0002-3843-5654+

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).