Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach
Abstract The current manuscript presents a mathematical model of dengue fever transmission with an asymptomatic compartment to capture infection dynamics in the presence of uncertainty. The model is fuzzified using triangular fuzzy numbers (TFNs) approach. The obtained fuzzy-fractional dengue model...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2024-12-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-024-79475-z |
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| author | Mubashir Qayyum Qursam Fatima Ali Akgül Murad Khan Hassani |
| author_facet | Mubashir Qayyum Qursam Fatima Ali Akgül Murad Khan Hassani |
| author_sort | Mubashir Qayyum |
| collection | DOAJ |
| description | Abstract The current manuscript presents a mathematical model of dengue fever transmission with an asymptomatic compartment to capture infection dynamics in the presence of uncertainty. The model is fuzzified using triangular fuzzy numbers (TFNs) approach. The obtained fuzzy-fractional dengue model is then solved and analyzed through fuzzy extension of modified residual power series algorithm, which utilizes residual power series along with Laplace transform. Numerical analysis has also been performed in this study and obtained results are shown as solutions and residual errors for each compartment to ensure the validity. Graphical analysis depict the model’s behavior under varying parameters, illustrating contrasting trends for different values of $$\nu$$ and examining the impacts of transmission and recovery rates on dengue model in uncertain environment. The current findings highlighted the effectiveness of proposed uncertainty in epidemic system dynamics, offering new insights with potential applications in other areas of engineering, science and medicine. |
| format | Article |
| id | doaj-art-89e3929cd4f44c19810477a2dedb5b9e |
| institution | DOAJ |
| issn | 2045-2322 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-89e3929cd4f44c19810477a2dedb5b9e2025-08-20T02:43:36ZengNature PortfolioScientific Reports2045-23222024-12-0114111610.1038/s41598-024-79475-zModeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approachMubashir Qayyum0Qursam Fatima1Ali Akgül2Murad Khan Hassani3Department of Sciences and Humanities, National University of Computer and Emerging SciencesDepartment of Sciences and Humanities, National University of Computer and Emerging SciencesArt and Science Faculty, Department of Mathematics, Siirt UniversityDepartment of Mathematics, Ghazni UniversityAbstract The current manuscript presents a mathematical model of dengue fever transmission with an asymptomatic compartment to capture infection dynamics in the presence of uncertainty. The model is fuzzified using triangular fuzzy numbers (TFNs) approach. The obtained fuzzy-fractional dengue model is then solved and analyzed through fuzzy extension of modified residual power series algorithm, which utilizes residual power series along with Laplace transform. Numerical analysis has also been performed in this study and obtained results are shown as solutions and residual errors for each compartment to ensure the validity. Graphical analysis depict the model’s behavior under varying parameters, illustrating contrasting trends for different values of $$\nu$$ and examining the impacts of transmission and recovery rates on dengue model in uncertain environment. The current findings highlighted the effectiveness of proposed uncertainty in epidemic system dynamics, offering new insights with potential applications in other areas of engineering, science and medicine.https://doi.org/10.1038/s41598-024-79475-zFuzzy-fractional modelCaputo fractional derivativeTriangular fuzzy numbersResidual power series |
| spellingShingle | Mubashir Qayyum Qursam Fatima Ali Akgül Murad Khan Hassani Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach Scientific Reports Fuzzy-fractional model Caputo fractional derivative Triangular fuzzy numbers Residual power series |
| title | Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach |
| title_full | Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach |
| title_fullStr | Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach |
| title_full_unstemmed | Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach |
| title_short | Modeling and analysis of dengue transmission in fuzzy-fractional framework: a hybrid residual power series approach |
| title_sort | modeling and analysis of dengue transmission in fuzzy fractional framework a hybrid residual power series approach |
| topic | Fuzzy-fractional model Caputo fractional derivative Triangular fuzzy numbers Residual power series |
| url | https://doi.org/10.1038/s41598-024-79475-z |
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