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...

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Main Authors:	M.Z. Ahmad, D. Alsarayreh, A. Alsarayreh, Qaralleh, I.
Format:	Article
Language:	English
Published:	Penerbit Universiti Kebangsaan Malaysia 2017
Online Access:	http://journalarticle.ukm.my/11561/ http://journalarticle.ukm.my/11561/ http://journalarticle.ukm.my/11561/1/40%20M.Z.%20Ahmad.pdf

id	ukm-11561
recordtype	eprints
spelling	ukm-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
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
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.
format	Article
author	M.Z. Ahmad, D. Alsarayreh, A. Alsarayreh, Qaralleh, I.
spellingShingle	M.Z. Ahmad, D. Alsarayreh, A. Alsarayreh, Qaralleh, I. Differential transformation method (DTM) for solving SIS and SI epidemic models
author_facet	M.Z. Ahmad, D. Alsarayreh, A. Alsarayreh, Qaralleh, I.
author_sort	M.Z. Ahmad,
title	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_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_sort	differential transformation method (dtm) for solving sis and si epidemic models
publisher	Penerbit Universiti Kebangsaan Malaysia
publishDate	2017
url	http://journalarticle.ukm.my/11561/ http://journalarticle.ukm.my/11561/ http://journalarticle.ukm.my/11561/1/40%20M.Z.%20Ahmad.pdf
first_indexed	2023-09-18T20:00:38Z
last_indexed	2023-09-18T20:00:38Z
_version_	1777406824244314112

Differential transformation method (DTM) for solving SIS and SI epidemic models

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