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: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/317201 |
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| _version_ | 1850164396680019968 |
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| author | Muhammad Altaf Khan S. F. Saddiq Saeed Islam Ilyas Khan Dennis Ling Chuan Ching |
| author_facet | Muhammad Altaf Khan S. F. Saddiq Saeed Islam Ilyas Khan Dennis Ling Chuan Ching |
| author_sort | Muhammad Altaf Khan |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-e8ba8b503e73466cbfbeb7abfe94a55e |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e8ba8b503e73466cbfbeb7abfe94a55e2025-08-20T02:22:01ZengWileyAbstract 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 |
| 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 |
| title | 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_short | Epidemic Model of Leptospirosis Containing Fractional Order |
| title_sort | epidemic model of leptospirosis containing fractional order |
| url | http://dx.doi.org/10.1155/2014/317201 |
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