An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model
The present work deals with the construction, development, and analysis of a viable normalized predictor-corrector-type nonstandard finite difference scheme for the SEIR model concerning the transmission dynamics of measles. The proposed numerical scheme double refines the solution and gives realist...
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| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/8830829 |
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| author | Asma Farooqi Riaz Ahmad Rashada Farooqi Sayer O. Alharbi Dumitru Baleanu Muhammad Rafiq Ilyas Khan M. O. Ahmad |
| author_facet | Asma Farooqi Riaz Ahmad Rashada Farooqi Sayer O. Alharbi Dumitru Baleanu Muhammad Rafiq Ilyas Khan M. O. Ahmad |
| author_sort | Asma Farooqi |
| collection | DOAJ |
| description | The present work deals with the construction, development, and analysis of a viable normalized predictor-corrector-type nonstandard finite difference scheme for the SEIR model concerning the transmission dynamics of measles. The proposed numerical scheme double refines the solution and gives realistic results even for large step sizes, thus making it economical when integrating over long time periods. Moreover, it is dynamically consistent with a continuous system and unconditionally convergent and preserves the positive behavior of the state variables involved in the system. Simulations are performed to guarantee the results, and its effectiveness is compared with well-known numerical methods such as Runge–Kutta (RK) and Euler method of a predictor-corrector type. |
| format | Article |
| id | doaj-art-17ce12004e834bd18f07ad969bf669e8 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-17ce12004e834bd18f07ad969bf669e82025-02-03T01:25:46ZengWileyJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/88308298830829An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic ModelAsma Farooqi0Riaz Ahmad1Rashada Farooqi2Sayer O. Alharbi3Dumitru Baleanu4Muhammad Rafiq5Ilyas Khan6M. O. Ahmad7Faculty of Science, Yibin University, Yibin 644000, ChinaFaculty of Science, Yibin University, Yibin 644000, ChinaWah Medical College POF Hospital, Wah Cantt 47040, PakistanDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi ArabiaDepartment of Mathematics, Cankaya University, Ankara 06790, TurkeyDepartment of Mathematics, Faculty of Sciences University of Central Punjab, Lahore, PakistanDepartment of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi ArabiaDepartment of Mathematics and Statistics, University of Lahore, Lahore 54590, PakistanThe present work deals with the construction, development, and analysis of a viable normalized predictor-corrector-type nonstandard finite difference scheme for the SEIR model concerning the transmission dynamics of measles. The proposed numerical scheme double refines the solution and gives realistic results even for large step sizes, thus making it economical when integrating over long time periods. Moreover, it is dynamically consistent with a continuous system and unconditionally convergent and preserves the positive behavior of the state variables involved in the system. Simulations are performed to guarantee the results, and its effectiveness is compared with well-known numerical methods such as Runge–Kutta (RK) and Euler method of a predictor-corrector type.http://dx.doi.org/10.1155/2020/8830829 |
| spellingShingle | Asma Farooqi Riaz Ahmad Rashada Farooqi Sayer O. Alharbi Dumitru Baleanu Muhammad Rafiq Ilyas Khan M. O. Ahmad An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model Journal of Mathematics |
| title | An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model |
| title_full | An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model |
| title_fullStr | An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model |
| title_full_unstemmed | An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model |
| title_short | An Accurate Predictor-Corrector-Type Nonstandard Finite Difference Scheme for an SEIR Epidemic Model |
| title_sort | accurate predictor corrector type nonstandard finite difference scheme for an seir epidemic model |
| url | http://dx.doi.org/10.1155/2020/8830829 |
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