Dynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm
Yükleniyor...
Dosyalar
Tarih
2025-03-07
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Science and Business Media LLC
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Hepatitis B virus (HBV) is a significant global health concern, causing acute and chronic liver diseases, including cirrhosis and hepatocellular carcinoma. This manuscript extends existing mathematical models for HBV by introducing a treatment compartment to improve understanding, diagnosis, and treatment strategies. A stability analysis is conducted for disease-free equilibrium and to address the inherent uncertainties in parameter values, Gaussian fuzzy numbers are incorporated, resulting in a more realistic predictive framework. For solution purposes, the extended residual power series algorithm, which combines the Taylor series with a residual function and an integral transform, is applied. The accuracy of the obtained solutions is assessed by calculating the associated errors. The robustness of the model is further evaluated using r-cut values for lower and upper bounds.A graphical analysis is also performed to examine the influence of different parameters on the solution profiles, enhancing the understanding of disease dynamics. The analysis reveals that the proposed methodology effectively explains the dynamics of epidemic systems and provides new perspectives with potential applications in biology, engineering, and medicine.
Açıklama
Anahtar Kelimeler
Caputo fractional derivative, Fuzzy-fractional model, Gaussian fuzzy number, LRPSM.
Kaynak
Scientific Reports
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
15
Sayı
1
Künye
Fatima, Q., Qayyum, M., Hassani, M. K., & Akgül, A. (2025). Dynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm. Scientific Reports, 15(1), 7972.
