Exploring the dynamics of monkeypox: a fractional order epidemic model approach

• Autorzy: Baba Isa Abdullahi , Hincal Evren , Rihane Fathalla A.

Identyfikatory

DOI

10.17512/jamcm.2024.1.03

• Języki publikacji: EN

Abstrakty

EN

We present a mathematical model employing nonlinear fractional differential equations to investigate the transmission of disease from rodents to humans. The existence and uniqueness of the model’s solutions are established through Banach contraction maps, and the local asymptotic stability of equilibrium solutions is confirmed. We calculate a critical parameter, the basic reproduction number, which reflects secondary infection rates. Numerical simulations illustrate dynamic changes over time, showcasing that our model provides a more comprehensive representation of the biological system compared to classical models.

Słowa kluczowe

EN

fractional differential equations; disease transmission; rodents; Banach contraction; mapping; basic reproduction number; numerical simulations

PL

równania różniczkowe; epidemia; gryzonie; mapowanie; symulacje numeryczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2024
• Tom: Vol. 23, nr 1
• Strony: 32--44
• Opis fizyczny: Bibliogr. 22 poz., rys.

Twórcy

autor

Baba Isa Abdullahi

• Department of Mathematics, Bayero University, Kano, Nigeria
• Department of Mathematics, Near East University, 99138 Mersin, Turkey

autor

Hincal Evren

• Department of Mathematics, Near East University, 99138 Mersin, Turkey

autor

Rihane Fathalla A.

• Department of Mathematical Sciences, College of Science, UAE University, Al Ain 15551, UAE
• Department of Mathematics, Faculty of Science, Helwan University, Cairo 11795, Egypt

Bibliografia

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Uwagi

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