Analytical solution of a non-linear fractional order SIS epidemic model utilizing a new technique
The solution of fractional order epidemic models is an emerging area of research due to its wide applications in various fields of applied sciences. In this study, we investigate the non-linear fractional order SIS epidemic model. Specifically, we use the Laplace redisual power series (LRPS) method...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-07-01
|
| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016823002909 |
| _version_ | 1797803972070735872 |
|---|---|
| author | Angran Liu Faisal Yasin Zeeshan Afzal Waqas Nazeer |
| author_facet | Angran Liu Faisal Yasin Zeeshan Afzal Waqas Nazeer |
| author_sort | Angran Liu |
| collection | DOAJ |
| description | The solution of fractional order epidemic models is an emerging area of research due to its wide applications in various fields of applied sciences. In this study, we investigate the non-linear fractional order SIS epidemic model. Specifically, we use the Laplace redisual power series (LRPS) method to analytically solve the non-linear fractional order coupled initial value problems. The LRPS method combines the RPS approach with the Laplace transform operator to obtain a rapid convergent series approximation with less time and resources. Our results are compared with the exact solution of the SIS epidemic model to validate the accuracy of our method. The proposed LRPS method is a useful, time-saving analytical technique for developing approximations of solutions for non-linear fractional order SIS epidemic models. Numerical and graphical analysis of the outcomes demonstrate the efficacy of the LRPS method and suggest its potential as a new approach for solving a variety of real-world problems involving differential equations of any order. Future work can explore the application of this method to other non-linear fractional order epidemic models to further validate its effectiveness. |
| first_indexed | 2024-03-13T05:30:08Z |
| format | Article |
| id | doaj.art-0f1344b152bb41cf86cb1b9fc697d3d2 |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-03-13T05:30:08Z |
| publishDate | 2023-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-0f1344b152bb41cf86cb1b9fc697d3d22023-06-15T04:54:15ZengElsevierAlexandria Engineering Journal1110-01682023-07-0173123129Analytical solution of a non-linear fractional order SIS epidemic model utilizing a new techniqueAngran Liu0Faisal Yasin1Zeeshan Afzal2Waqas Nazeer3Faculty of Mathematical Sciences, Jiangsu Second Normal University, Nanjing 211200, China; Corresponding authors.Department of Mathematics and Statistics, University of Lahore, PakistanDepartment of Mathematics and Statistics, University of Lahore, PakistanDepartment of Mathematics, Government College University, Lahore, Pakistan; Corresponding authors.The solution of fractional order epidemic models is an emerging area of research due to its wide applications in various fields of applied sciences. In this study, we investigate the non-linear fractional order SIS epidemic model. Specifically, we use the Laplace redisual power series (LRPS) method to analytically solve the non-linear fractional order coupled initial value problems. The LRPS method combines the RPS approach with the Laplace transform operator to obtain a rapid convergent series approximation with less time and resources. Our results are compared with the exact solution of the SIS epidemic model to validate the accuracy of our method. The proposed LRPS method is a useful, time-saving analytical technique for developing approximations of solutions for non-linear fractional order SIS epidemic models. Numerical and graphical analysis of the outcomes demonstrate the efficacy of the LRPS method and suggest its potential as a new approach for solving a variety of real-world problems involving differential equations of any order. Future work can explore the application of this method to other non-linear fractional order epidemic models to further validate its effectiveness.http://www.sciencedirect.com/science/article/pii/S1110016823002909Fractional order SIS modelCaputo’s derivative operatorLaplace residual power series (LRPS) |
| spellingShingle | Angran Liu Faisal Yasin Zeeshan Afzal Waqas Nazeer Analytical solution of a non-linear fractional order SIS epidemic model utilizing a new technique Alexandria Engineering Journal Fractional order SIS model Caputo’s derivative operator Laplace residual power series (LRPS) |
| title | Analytical solution of a non-linear fractional order SIS epidemic model utilizing a new technique |
| title_full | Analytical solution of a non-linear fractional order SIS epidemic model utilizing a new technique |
| title_fullStr | Analytical solution of a non-linear fractional order SIS epidemic model utilizing a new technique |
| title_full_unstemmed | Analytical solution of a non-linear fractional order SIS epidemic model utilizing a new technique |
| title_short | Analytical solution of a non-linear fractional order SIS epidemic model utilizing a new technique |
| title_sort | analytical solution of a non linear fractional order sis epidemic model utilizing a new technique |
| topic | Fractional order SIS model Caputo’s derivative operator Laplace residual power series (LRPS) |
| url | http://www.sciencedirect.com/science/article/pii/S1110016823002909 |
| work_keys_str_mv | AT angranliu analyticalsolutionofanonlinearfractionalordersisepidemicmodelutilizinganewtechnique AT faisalyasin analyticalsolutionofanonlinearfractionalordersisepidemicmodelutilizinganewtechnique AT zeeshanafzal analyticalsolutionofanonlinearfractionalordersisepidemicmodelutilizinganewtechnique AT waqasnazeer analyticalsolutionofanonlinearfractionalordersisepidemicmodelutilizinganewtechnique |