Dynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm
Abstract 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...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2025-03-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-88310-y |
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| author | Qursam Fatima Mubashir Qayyum Murad Khan Hassani Ali Akgül |
| author_facet | Qursam Fatima Mubashir Qayyum Murad Khan Hassani Ali Akgül |
| author_sort | Qursam Fatima |
| collection | DOAJ |
| description | Abstract 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. |
| format | Article |
| id | doaj-art-18017e8a963a465497998f99e4105d91 |
| institution | DOAJ |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-18017e8a963a465497998f99e4105d912025-08-20T03:05:52ZengNature PortfolioScientific Reports2045-23222025-03-0115112010.1038/s41598-025-88310-yDynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithmQursam Fatima0Mubashir Qayyum1Murad Khan Hassani2Ali Akgül3Department of Sciences and Humanities, National University of Computer and Emerging SciencesDepartment of Sciences and Humanities, National University of Computer and Emerging SciencesDepartment of Mathematics, Ghazni UniversityDepartment of Electronics and Communication Engineering, Saveetha School of Engineering, SIMATSAbstract 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.https://doi.org/10.1038/s41598-025-88310-yFuzzy-fractional modelGaussian fuzzy numberCaputo fractional derivativeLRPSM |
| spellingShingle | Qursam Fatima Mubashir Qayyum Murad Khan Hassani Ali Akgül Dynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm Scientific Reports Fuzzy-fractional model Gaussian fuzzy number Caputo fractional derivative LRPSM |
| title | Dynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm |
| title_full | Dynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm |
| title_fullStr | Dynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm |
| title_full_unstemmed | Dynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm |
| title_short | Dynamical analysis of fractional hepatitis B model with Gaussian uncertainties using extended residual power series algorithm |
| title_sort | dynamical analysis of fractional hepatitis b model with gaussian uncertainties using extended residual power series algorithm |
| topic | Fuzzy-fractional model Gaussian fuzzy number Caputo fractional derivative LRPSM |
| url | https://doi.org/10.1038/s41598-025-88310-y |
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