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Epidemic Model of Leptospirosis Containing Fractional Order

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  • Muhammad Altaf Khan
  • S. F. Saddiq
  • Saeed Islam
  • Ilyas Khan
  • Dennis Ling Chuan Ching

Abstract

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.

Suggested Citation

  • Muhammad Altaf Khan & S. F. Saddiq & Saeed Islam & Ilyas Khan & Dennis Ling Chuan Ching, 2014. "Epidemic Model of Leptospirosis Containing Fractional Order," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, December.
    • Handle: RePEc:hin:jnlaaa:317201
    DOI: 10.1155/2014/317201
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    Cited by:

    1. Qureshi, Sania, 2020. "Periodic dynamics of rubella epidemic under standard and fractional Caputo operator with real data from Pakistan," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 151-165.

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