Enhanced numerical techniques for solving generalized rotavirus mathematical model via iterative method and ρ-Laplace transform
Rotavirus infection is a significant cause of severe diarrhea in infants and young children, contributing significantly to mortality rates worldwide. This research investigates a time fractional-order epidemic model for rotavirus under uncertain conditions, defined using the Katugampola fractional d...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-12-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124003498 |
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| author | Rishi Kumar Pandey Kottakkaran Sooppy Nisar |
| author_facet | Rishi Kumar Pandey Kottakkaran Sooppy Nisar |
| author_sort | Rishi Kumar Pandey |
| collection | DOAJ |
| description | Rotavirus infection is a significant cause of severe diarrhea in infants and young children, contributing significantly to mortality rates worldwide. This research investigates a time fractional-order epidemic model for rotavirus under uncertain conditions, defined using the Katugampola fractional derivative (KFD). We employ a semi-analytic technique known as the Generalized Transform Variational Iterative Method (GTVIM) to solve the model, starting with specific initial conditions. This approach combines the ρ-Laplace Transform and the Variational Iterative Method. The Banach space fixed point theorem establishes the model’s existence and uniqueness. Furthermore, numerical analyses are performed for various fractional orders of two parameters to explore the dynamics of the rotavirus epidemic model. |
| format | Article |
| id | doaj-art-b0a7604bebf946a1b513f3875c3e007c |
| institution | DOAJ |
| issn | 2666-8181 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-b0a7604bebf946a1b513f3875c3e007c2025-08-20T02:50:09ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812024-12-011210096310.1016/j.padiff.2024.100963Enhanced numerical techniques for solving generalized rotavirus mathematical model via iterative method and ρ-Laplace transformRishi Kumar Pandey0Kottakkaran Sooppy Nisar1Symbiosis Centre for Management Studies (SCMS), Symbiosis International (Deemed University)(SIU), Mouza-Wathoda, Nagpur, Maharashtra, IndiaDepartment of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al Kharj, Saudi Arabia; Hourani Center for Applied Scientific Research, Al-Ahliyya Amman University, Jordan; Corresponding author at: Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al Kharj, Saudi Arabia.Rotavirus infection is a significant cause of severe diarrhea in infants and young children, contributing significantly to mortality rates worldwide. This research investigates a time fractional-order epidemic model for rotavirus under uncertain conditions, defined using the Katugampola fractional derivative (KFD). We employ a semi-analytic technique known as the Generalized Transform Variational Iterative Method (GTVIM) to solve the model, starting with specific initial conditions. This approach combines the ρ-Laplace Transform and the Variational Iterative Method. The Banach space fixed point theorem establishes the model’s existence and uniqueness. Furthermore, numerical analyses are performed for various fractional orders of two parameters to explore the dynamics of the rotavirus epidemic model.http://www.sciencedirect.com/science/article/pii/S2666818124003498Epidemic modelGeneralized transform variational iterative methodNumerical toolsKatugampola fractional derivativeRotavirus |
| spellingShingle | Rishi Kumar Pandey Kottakkaran Sooppy Nisar Enhanced numerical techniques for solving generalized rotavirus mathematical model via iterative method and ρ-Laplace transform Partial Differential Equations in Applied Mathematics Epidemic model Generalized transform variational iterative method Numerical tools Katugampola fractional derivative Rotavirus |
| title | Enhanced numerical techniques for solving generalized rotavirus mathematical model via iterative method and ρ-Laplace transform |
| title_full | Enhanced numerical techniques for solving generalized rotavirus mathematical model via iterative method and ρ-Laplace transform |
| title_fullStr | Enhanced numerical techniques for solving generalized rotavirus mathematical model via iterative method and ρ-Laplace transform |
| title_full_unstemmed | Enhanced numerical techniques for solving generalized rotavirus mathematical model via iterative method and ρ-Laplace transform |
| title_short | Enhanced numerical techniques for solving generalized rotavirus mathematical model via iterative method and ρ-Laplace transform |
| title_sort | enhanced numerical techniques for solving generalized rotavirus mathematical model via iterative method and ρ laplace transform |
| topic | Epidemic model Generalized transform variational iterative method Numerical tools Katugampola fractional derivative Rotavirus |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124003498 |
| work_keys_str_mv | AT rishikumarpandey enhancednumericaltechniquesforsolvinggeneralizedrotavirusmathematicalmodelviaiterativemethodandrlaplacetransform AT kottakkaransooppynisar enhancednumericaltechniquesforsolvinggeneralizedrotavirusmathematicalmodelviaiterativemethodandrlaplacetransform |