Crossover Dynamics of Rotavirus Disease under Fractional Piecewise Derivative with Vaccination Effects: Simulations with Real Data from Thailand, West Africa, and the US
Many diseases are caused by viruses of different symmetrical shapes. Rotavirus particles are approximately 75 nm in diameter. They have icosahedral symmetry and particles that possess two concentric protein shells, or capsids. In this research, using a piecewise derivative framework with singular an...
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| Format: | Article |
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MDPI AG
2022-12-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/12/2641 |
| _version_ | 1797455200295845888 |
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| author | Surapol Naowarat Shabir Ahmad Sayed Saifullah Manuel De la Sen Ali Akgül |
| author_facet | Surapol Naowarat Shabir Ahmad Sayed Saifullah Manuel De la Sen Ali Akgül |
| author_sort | Surapol Naowarat |
| collection | DOAJ |
| description | Many diseases are caused by viruses of different symmetrical shapes. Rotavirus particles are approximately 75 nm in diameter. They have icosahedral symmetry and particles that possess two concentric protein shells, or capsids. In this research, using a piecewise derivative framework with singular and non-singular kernels, we investigate the evolution of rotavirus with regard to the effect of vaccination. For the considered model, the existence of a solution of the piecewise rotavirus model is investigated via fixed-point results. The Adam–Bashforth numerical method along with the Newton polynomial is implemented to deduce the numerical solution of the considered model. Various versions of the stability of the solution of the piecewise rotavirus model are presented using the Ulam–Hyres concept and nonlinear analysis. We use MATLAB to perform the numerical simulation for a few fractional orders to study the crossover dynamics and evolution and effect of vaccination on rotavirus disease. To check the validity of the proposed approach, we compared our simulated results with real data from various countries. |
| first_indexed | 2024-03-09T15:48:06Z |
| format | Article |
| id | doaj.art-da9fec4c36864dc885e7958a3887c59c |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T15:48:06Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-da9fec4c36864dc885e7958a3887c59c2023-11-24T18:20:36ZengMDPI AGSymmetry2073-89942022-12-011412264110.3390/sym14122641Crossover Dynamics of Rotavirus Disease under Fractional Piecewise Derivative with Vaccination Effects: Simulations with Real Data from Thailand, West Africa, and the USSurapol Naowarat0Shabir Ahmad1Sayed Saifullah2Manuel De la Sen3Ali Akgül4Department of Mathematics, Faculty of Science and Technology, Suratthani Rajabhat University, Surat Thani 84100, ThailandDepartment of Mathematics, University of Malakand, Chakdara 18800, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, University of Malakand, Chakdara 18800, Khyber Pakhtunkhwa, PakistanDepartment of Electricity and Electronics, Institute of Research and Development of Processes, Faculty of Science, Technology University of the Basque Country Campus of Leioa (Bizkaia), 644 Leioa, SpainDepartment of Computer Science and Mathematics, Lebanese American University, Beirut 1102 2801, LebanonMany diseases are caused by viruses of different symmetrical shapes. Rotavirus particles are approximately 75 nm in diameter. They have icosahedral symmetry and particles that possess two concentric protein shells, or capsids. In this research, using a piecewise derivative framework with singular and non-singular kernels, we investigate the evolution of rotavirus with regard to the effect of vaccination. For the considered model, the existence of a solution of the piecewise rotavirus model is investigated via fixed-point results. The Adam–Bashforth numerical method along with the Newton polynomial is implemented to deduce the numerical solution of the considered model. Various versions of the stability of the solution of the piecewise rotavirus model are presented using the Ulam–Hyres concept and nonlinear analysis. We use MATLAB to perform the numerical simulation for a few fractional orders to study the crossover dynamics and evolution and effect of vaccination on rotavirus disease. To check the validity of the proposed approach, we compared our simulated results with real data from various countries.https://www.mdpi.com/2073-8994/14/12/2641rotavirus diseasepiecewise operatorNewton polynomialnonlinear analysis |
| spellingShingle | Surapol Naowarat Shabir Ahmad Sayed Saifullah Manuel De la Sen Ali Akgül Crossover Dynamics of Rotavirus Disease under Fractional Piecewise Derivative with Vaccination Effects: Simulations with Real Data from Thailand, West Africa, and the US Symmetry rotavirus disease piecewise operator Newton polynomial nonlinear analysis |
| title | Crossover Dynamics of Rotavirus Disease under Fractional Piecewise Derivative with Vaccination Effects: Simulations with Real Data from Thailand, West Africa, and the US |
| title_full | Crossover Dynamics of Rotavirus Disease under Fractional Piecewise Derivative with Vaccination Effects: Simulations with Real Data from Thailand, West Africa, and the US |
| title_fullStr | Crossover Dynamics of Rotavirus Disease under Fractional Piecewise Derivative with Vaccination Effects: Simulations with Real Data from Thailand, West Africa, and the US |
| title_full_unstemmed | Crossover Dynamics of Rotavirus Disease under Fractional Piecewise Derivative with Vaccination Effects: Simulations with Real Data from Thailand, West Africa, and the US |
| title_short | Crossover Dynamics of Rotavirus Disease under Fractional Piecewise Derivative with Vaccination Effects: Simulations with Real Data from Thailand, West Africa, and the US |
| title_sort | crossover dynamics of rotavirus disease under fractional piecewise derivative with vaccination effects simulations with real data from thailand west africa and the us |
| topic | rotavirus disease piecewise operator Newton polynomial nonlinear analysis |
| url | https://www.mdpi.com/2073-8994/14/12/2641 |
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