Unveiling Asymptomatic Transmission: Analytical and Stability Insights of a Fractional-Order COVID-19 Model

GÜNERHAN, HATIRA; Ullah, Mohammad Sharif; Nisar, Kottakkaran Sooppy; Adel, Waleed

doi:10.1016/j.sciaf.2025.e02929

Unveiling Asymptomatic Transmission: Analytical and Stability Insights of a Fractional-Order COVID-19 Model

Yazarlar (4)
Doç. Dr. Hatıra GÜNERHAN Kurum Bilgileri Dede Korkut Eğitim Fakültesi Matematik ve Fen Bilimleri Eğitimi Matematik Eğitimi Özgeçmiş Sayfası İletişim Bilgileri: (474)225-1150 Kafkas Üniversitesi, Türkiye
Mohammad Sharif Ullah University of Tennessee at Chattanooga, United States
Kottakkaran Sooppy Nisar Prince Sattam Bin Abdulaziz University, Saudi Arabia
Waleed Adel School of Engineering & Applied Sciences, Egypt

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
Makale Dili	İngilizce
Basım Tarihi	09-2025
Cilt No	29
Sayı	1
Doi Numarası	10.1016/j.sciaf.2025.e02929

Atıf Sayıları

Unveiling Asymptomatic Transmission: Analytical and Stability Insights of a Fractional-Order COVID-19 Model

Akademisyenler > Hatıra GÜNERHAN > Yayın Detayı

Unveiling Asymptomatic Transmission: Analytical and Stability Insights of a Fractional-Order COVID-19 Model

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