Epidemic Model of Leptospirosis Containing Fractional Order

Epidemic Model of Leptospirosis Containing Fractional Order

We study an epidemic model of leptospirosis in fractional order numerically. The multistep generalized differential transform method is applied to find the accurate approximate solution of the epidemic model of leptospirosis disease in fractional order. A unique positive solution for the epidemic mo...

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Main Authors: Muhammad Altaf Khan, S. F. Saddiq, Saeed Islam, Ilyas Khan, Dennis Ling Chuan Ching
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/317201
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spelling doaj-e8ba8b503e73466cbfbeb7abfe94a55e2020-11-25T01:57:41ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/317201317201Epidemic Model of Leptospirosis Containing Fractional OrderMuhammad Altaf Khan0S. F. Saddiq1Saeed Islam2Ilyas Khan3Dennis Ling Chuan Ching4Department of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Islamia College University, Peshawar, Khyber Pakhtunkhwa, PakistanDepartment of Mathematics, Abdul Wali Khan University, Mardan, Khyber Pakhtunkhwa, PakistanCollege of Engineering, Majmaah University, Majmaah, Saudi ArabiaDepartment of Fundamental Applied Sciences, Universiti Teknologi PETRONAS, 31750 Perak, MalaysiaWe study an epidemic model of leptospirosis in fractional order numerically. The multistep generalized differential transform method is applied to find the accurate approximate solution of the epidemic model of leptospirosis disease in fractional order. A unique positive solution for the epidemic model in fractional order is presented. For the integer case derivative, the approximate solution of MGDTM is compared with the Runge-Kutta order four scheme. The numerical results are presented for the justification purpose.http://dx.doi.org/10.1155/2014/317201
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Altaf Khan
S. F. Saddiq
Saeed Islam
Ilyas Khan
Dennis Ling Chuan Ching
spellingShingle Muhammad Altaf Khan
S. F. Saddiq
Saeed Islam
Ilyas Khan
Dennis Ling Chuan Ching
Epidemic Model of Leptospirosis Containing Fractional Order
Abstract and Applied Analysis
author_facet Muhammad Altaf Khan
S. F. Saddiq
Saeed Islam
Ilyas Khan
Dennis Ling Chuan Ching
author_sort Muhammad Altaf Khan
title Epidemic Model of Leptospirosis Containing Fractional Order
title_short Epidemic Model of Leptospirosis Containing Fractional Order
title_full Epidemic Model of Leptospirosis Containing Fractional Order
title_fullStr Epidemic Model of Leptospirosis Containing Fractional Order
title_full_unstemmed Epidemic Model of Leptospirosis Containing Fractional Order
title_sort epidemic model of leptospirosis containing fractional order
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We study an epidemic model of leptospirosis in fractional order numerically. The multistep generalized differential transform method is applied to find the accurate approximate solution of the epidemic model of leptospirosis disease in fractional order. A unique positive solution for the epidemic model in fractional order is presented. For the integer case derivative, the approximate solution of MGDTM is compared with the Runge-Kutta order four scheme. The numerical results are presented for the justification purpose.
url http://dx.doi.org/10.1155/2014/317201
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AT sfsaddiq epidemicmodelofleptospirosiscontainingfractionalorder
AT saeedislam epidemicmodelofleptospirosiscontainingfractionalorder
AT ilyaskhan epidemicmodelofleptospirosiscontainingfractionalorder
AT dennislingchuanching epidemicmodelofleptospirosiscontainingfractionalorder
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