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Unveiling Asymptomatic Transmission: Analytical and Stability Insights of a Fractional-Order COVID-19 Model     
Yazarlar (4)
Doç. Dr. Hatıra GÜNERHAN Doç. Dr. Hatıra GÜNERHAN
Kafkas Üniversitesi, Türkiye
Mohammad Sharif Ullah
University Of Tennessee At Chattanooga, Amerika Birleşik Devletleri
Kottakkaran Sooppy Nisar
Prince Sattam Bin Abdulaziz University, Suudi Arabistan
Waleed Adel
School Of Engineering & Applied Sciences, Mısır
Devamını Göster
Özet
In this paper, we present a fractional-order SAIP epidemic model that incorporates asymptomatic transmission to jointly examine infection pathways and the influence of long-term memory effects. The Caputo fractional derivative is employed to capture the memory and hereditary characteristics intrinsic to real-world infectious disease dynamics, providing an alternative framework to traditional integer-order approaches. We establish key mathematical properties, including the positivity and boundedness of solutions, and derive the basic reproduction number. R0to determine thresholds for disease extinction or persistence. Both local and global stability analyses of the disease-free and endemic equilibria are conducted to clarify the conditions required for outbreak control. To address the complexities introduced by the fractional structure, we adapt the Laplace Adomian Decomposition Method (LADM) and demonstrate its effectiveness through detailed numerical simulations. The results show that variations in the fractional order affect epidemic trajectories, altering peak infection levels and duration, and thus emphasize the important role of memory effects in disease propagation.
Anahtar Kelimeler
Caputo fractional derivative | Coronavirus model | Laplace Adomian decomposition | Stability
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayınlanan tam makale
Dergi Adı Scientific African
Dergi ISSN 2468-2276 Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler ESCI
Makale Dili Türkçe
Basım Tarihi 08-2025
Cilt No 29
Sayı 1
Doi Numarası 10.1016/j.sciaf.2025.e02929
Makale Linki https://doi.org/10.1016/j.sciaf.2025.e02929