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Epidemic Model of Leptospirosis Containing Fractional Order

Author

Listed:
  • 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, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:317201
    DOI: 10.1155/2014/317201
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    References listed on IDEAS

    as
    1. Shaher Momani & Asad Freihat & Mohammed AL-Smadi, 2014. "Analytical Study of Fractional‐Order Multiple Chaotic FitzHugh‐Nagumo Neurons Model Using Multistep Generalized Differential Transform Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Samia Bushnaq & Banan Maayah & Shaher Momani & Ahmed Alsaedi, 2014. "A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Shaher Momani & Asad Freihat & Mohammed AL-Smadi, 2014. "Analytical Study of Fractional-Order Multiple Chaotic FitzHugh-Nagumo Neurons Model Using Multistep Generalized Differential Transform Method," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-10, June.
    4. Samia Bushnaq & Banan Maayah & Shaher Momani & Ahmed Alsaedi, 2014. "A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, March.
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