Analysis of the COVID-19 pandemic and prediction with numerical methods
Coronavirus spreads worldwide with various symptoms and strains such as COVID-19, SARS, MERS. Outbreak and prevention of the coronavirus can be studied by many mathematical models like SIR, SEIR and SEIQDR. In this paper, we employed Euler’s method based on the SEIQDR mathematical model of COVID-19....
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2024-12-01
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| Series: | International Journal of Mathematics for Industry |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S2661335224500187 |
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| author | M. M. Singh D. L. Suthar G. Agarwal S. D. Purohit |
| author_facet | M. M. Singh D. L. Suthar G. Agarwal S. D. Purohit |
| author_sort | M. M. Singh |
| collection | DOAJ |
| description | Coronavirus spreads worldwide with various symptoms and strains such as COVID-19, SARS, MERS. Outbreak and prevention of the coronavirus can be studied by many mathematical models like SIR, SEIR and SEIQDR. In this paper, we employed Euler’s method based on the SEIQDR mathematical model of COVID-19. Also, after certain iterations of the population categories, we obtained the solution range of the SEIQDR model. In the end, we studied the impact of [Formula: see text] for integer 1 and fractional order 0.9 and 0.85 on the obtained numerical solutions. The graphical solutions are also analyzed for integer and fractional values of [Formula: see text]. The advantage of this proposed method is that it reduces the mathematical and numerical computations significantly and the proposed method is effective and efficient in extracting the approximate solution of various population categories for COVID-19 mathematical model. |
| format | Article |
| id | doaj-art-7f32d6db9d5c4cd8ae3d20dc1c5250b9 |
| institution | OA Journals |
| issn | 2661-3352 2661-3344 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | International Journal of Mathematics for Industry |
| spelling | doaj-art-7f32d6db9d5c4cd8ae3d20dc1c5250b92025-08-20T01:57:20ZengWorld Scientific PublishingInternational Journal of Mathematics for Industry2661-33522661-33442024-12-0116Supp0110.1142/S2661335224500187Analysis of the COVID-19 pandemic and prediction with numerical methodsM. M. Singh0D. L. Suthar1G. Agarwal2S. D. Purohit3Department of Mathematics and Statistics, School of Basic Sciences, Manipal University Jaipur, Jaipur 303007, IndiaDepartment of Mathematics, Wollo University, P. O. Box 1145, Dessie, EthiopiaDepartment of Mathematics and Statistics, School of Basic Sciences, Manipal University Jaipur, Jaipur 303007, IndiaDepartment of HEAS (Mathematics), Rajasthan Technical University, Kota 324010, IndiaCoronavirus spreads worldwide with various symptoms and strains such as COVID-19, SARS, MERS. Outbreak and prevention of the coronavirus can be studied by many mathematical models like SIR, SEIR and SEIQDR. In this paper, we employed Euler’s method based on the SEIQDR mathematical model of COVID-19. Also, after certain iterations of the population categories, we obtained the solution range of the SEIQDR model. In the end, we studied the impact of [Formula: see text] for integer 1 and fractional order 0.9 and 0.85 on the obtained numerical solutions. The graphical solutions are also analyzed for integer and fractional values of [Formula: see text]. The advantage of this proposed method is that it reduces the mathematical and numerical computations significantly and the proposed method is effective and efficient in extracting the approximate solution of various population categories for COVID-19 mathematical model.https://www.worldscientific.com/doi/10.1142/S2661335224500187Homotopy decomposition methodordinary differential equationCOVID-19mathematical modeling |
| spellingShingle | M. M. Singh D. L. Suthar G. Agarwal S. D. Purohit Analysis of the COVID-19 pandemic and prediction with numerical methods International Journal of Mathematics for Industry Homotopy decomposition method ordinary differential equation COVID-19 mathematical modeling |
| title | Analysis of the COVID-19 pandemic and prediction with numerical methods |
| title_full | Analysis of the COVID-19 pandemic and prediction with numerical methods |
| title_fullStr | Analysis of the COVID-19 pandemic and prediction with numerical methods |
| title_full_unstemmed | Analysis of the COVID-19 pandemic and prediction with numerical methods |
| title_short | Analysis of the COVID-19 pandemic and prediction with numerical methods |
| title_sort | analysis of the covid 19 pandemic and prediction with numerical methods |
| topic | Homotopy decomposition method ordinary differential equation COVID-19 mathematical modeling |
| url | https://www.worldscientific.com/doi/10.1142/S2661335224500187 |
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