On the Analytical Solution of Fractional SIR Epidemic Model
This article presents the solution of the fractional SIR epidemic model using the Laplace residual power series method. We introduce the fractional SIR model in the sense of Caputo’s derivative; it is presented by three fractional differential equations, in which the third one depends on the first c...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
|
| Series: | Applied Computational Intelligence and Soft Computing |
| Online Access: | http://dx.doi.org/10.1155/2023/6973734 |
| _version_ | 1826993049043992576 |
|---|---|
| author | Ahmad Qazza Rania Saadeh |
| author_facet | Ahmad Qazza Rania Saadeh |
| author_sort | Ahmad Qazza |
| collection | DOAJ |
| description | This article presents the solution of the fractional SIR epidemic model using the Laplace residual power series method. We introduce the fractional SIR model in the sense of Caputo’s derivative; it is presented by three fractional differential equations, in which the third one depends on the first coupled equations. The Laplace residual power series method (LRPSM) is implemented in this research to solve the proposed model, in which we present the solution in a form of convergent series expansion that converges rapidly to the exact one. We analyze the results and compare the obtained approximate solutions to those obtained from other methods. Figures and tables are illustrated to show the efficiency of the LRPSM in handling the proposed SIR model. |
| first_indexed | 2024-04-10T15:37:52Z |
| format | Article |
| id | doaj.art-87d4e0f1e30540c6b89dcbb21537baa5 |
| institution | Directory Open Access Journal |
| issn | 1687-9732 |
| language | English |
| last_indexed | 2025-02-18T08:57:57Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Applied Computational Intelligence and Soft Computing |
| spelling | doaj.art-87d4e0f1e30540c6b89dcbb21537baa52024-11-02T23:54:01ZengHindawi LimitedApplied Computational Intelligence and Soft Computing1687-97322023-01-01202310.1155/2023/6973734On the Analytical Solution of Fractional SIR Epidemic ModelAhmad Qazza0Rania Saadeh1Department of MathematicsDepartment of MathematicsThis article presents the solution of the fractional SIR epidemic model using the Laplace residual power series method. We introduce the fractional SIR model in the sense of Caputo’s derivative; it is presented by three fractional differential equations, in which the third one depends on the first coupled equations. The Laplace residual power series method (LRPSM) is implemented in this research to solve the proposed model, in which we present the solution in a form of convergent series expansion that converges rapidly to the exact one. We analyze the results and compare the obtained approximate solutions to those obtained from other methods. Figures and tables are illustrated to show the efficiency of the LRPSM in handling the proposed SIR model.http://dx.doi.org/10.1155/2023/6973734 |
| spellingShingle | Ahmad Qazza Rania Saadeh On the Analytical Solution of Fractional SIR Epidemic Model Applied Computational Intelligence and Soft Computing |
| title | On the Analytical Solution of Fractional SIR Epidemic Model |
| title_full | On the Analytical Solution of Fractional SIR Epidemic Model |
| title_fullStr | On the Analytical Solution of Fractional SIR Epidemic Model |
| title_full_unstemmed | On the Analytical Solution of Fractional SIR Epidemic Model |
| title_short | On the Analytical Solution of Fractional SIR Epidemic Model |
| title_sort | on the analytical solution of fractional sir epidemic model |
| url | http://dx.doi.org/10.1155/2023/6973734 |
| work_keys_str_mv | AT ahmadqazza ontheanalyticalsolutionoffractionalsirepidemicmodel AT raniasaadeh ontheanalyticalsolutionoffractionalsirepidemicmodel |