Differential transformation method (DTM) for solving SIS and SI epidemic models
In this paper, the differential transformation method (DTM) is employed to find the semi-analytical solutions of SIS and SI epidemic models for constant population. Firstly, the theoretical background of DTM is studied and followed by constructing the solutions of SIS and SI epidemic models. Further...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2017
|
| Online Access: | http://journalarticle.ukm.my/11561/ http://journalarticle.ukm.my/11561/1/40%20M.Z.%20Ahmad.pdf |
| _version_ | 1848812765685219328 |
|---|---|
| author | M.Z. Ahmad, D. Alsarayreh, A. Alsarayreh, Qaralleh, I. |
| author_facet | M.Z. Ahmad, D. Alsarayreh, A. Alsarayreh, Qaralleh, I. |
| author_sort | M.Z. Ahmad, |
| building | UKM Institutional Repository |
| collection | Online Access |
| description | In this paper, the differential transformation method (DTM) is employed to find the semi-analytical solutions of SIS and SI epidemic models for constant population. Firstly, the theoretical background of DTM is studied and followed by constructing the solutions of SIS and SI epidemic models. Furthermore, the convergence analysis of DTM is proven by proposing two theorems. Finally, numerical computations are made and compared with the exact solutions. From the numerical results, the solutions produced by DTM approach the exact solutions which agreed with the proposed theorems. It can be seen that the DTM is an alternative technique to be considered in solving many practical problems involving differential equations. |
| first_indexed | 2025-11-15T00:07:30Z |
| format | Article |
| id | oai:generic.eprints.org:11561 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:07:30Z |
| publishDate | 2017 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org:115612018-04-10T10:16:13Z http://journalarticle.ukm.my/11561/ Differential transformation method (DTM) for solving SIS and SI epidemic models M.Z. Ahmad, D. Alsarayreh, A. Alsarayreh, Qaralleh, I. In this paper, the differential transformation method (DTM) is employed to find the semi-analytical solutions of SIS and SI epidemic models for constant population. Firstly, the theoretical background of DTM is studied and followed by constructing the solutions of SIS and SI epidemic models. Furthermore, the convergence analysis of DTM is proven by proposing two theorems. Finally, numerical computations are made and compared with the exact solutions. From the numerical results, the solutions produced by DTM approach the exact solutions which agreed with the proposed theorems. It can be seen that the DTM is an alternative technique to be considered in solving many practical problems involving differential equations. Penerbit Universiti Kebangsaan Malaysia 2017-10 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/11561/1/40%20M.Z.%20Ahmad.pdf M.Z. Ahmad, and D. Alsarayreh, and A. Alsarayreh, and Qaralleh, I. (2017) Differential transformation method (DTM) for solving SIS and SI epidemic models. Sains Malaysiana, 46 (10). pp. 2007-2017. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol46num10_2017/contentsVol46num10_2017.html |
| spellingShingle | M.Z. Ahmad, D. Alsarayreh, A. Alsarayreh, Qaralleh, I. Differential transformation method (DTM) for solving SIS and SI epidemic models |
| title | Differential transformation method (DTM) for solving SIS and SI epidemic models |
| title_full | Differential transformation method (DTM) for solving SIS and SI epidemic models |
| title_fullStr | Differential transformation method (DTM) for solving SIS and SI epidemic models |
| title_full_unstemmed | Differential transformation method (DTM) for solving SIS and SI epidemic models |
| title_short | Differential transformation method (DTM) for solving SIS and SI epidemic models |
| title_sort | differential transformation method (dtm) for solving sis and si epidemic models |
| url | http://journalarticle.ukm.my/11561/ http://journalarticle.ukm.my/11561/ http://journalarticle.ukm.my/11561/1/40%20M.Z.%20Ahmad.pdf |