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Approximate Solution of Tuberculosis Disease Population Dynamics Model

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  • Abdon Atangana
  • Necdet Bildik

Abstract

We examine possible approximate solutions of both integer and noninteger systems of nonlinear differential equations describing tuberculosis disease population dynamics. The approximate solutions are obtained via the relatively new analytical technique, the homotopy decomposition method (HDM). The technique is described and illustrated with numerical example. The numerical simulations show that the approximate solutions are continuous functions of the noninteger‐order derivative. The technique used for solving these problems is friendly, very easy, and less time consuming.

Suggested Citation

  • Abdon Atangana & Necdet Bildik, 2013. "Approximate Solution of Tuberculosis Disease Population Dynamics Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:759801
    DOI: 10.1155/2013/759801
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    References listed on IDEAS

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    1. Abdon Atangana & Aydin Secer, 2013. "A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, April.
    2. Abdon Atangana & Aydin Secer, 2013. "A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Jean Jules Tewa & Alassane Bah & Suares Clovis Oukouomi Noutchie, 2014. "Dynamical Models of Interactions between Herds Forage and Water Resources in Sahelian Region," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Yiliang Liu & Peifen Lu & Ivan Szanto, 2014. "Numerical Analysis for a Fractional Differential Time‐Delay Model of HIV Infection of CD4+ T‐Cell Proliferation under Antiretroviral Therapy," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Abdias Laohombé & Isabelle Ngningone Eya & Jean Jules Tewa & Alassane Bah & Samuel Bowong & Suares Clovis Oukouomi Noutchie, 2014. "Mathematical Analysis of a General Two‐Patch Model of Tuberculosis Disease with Lost Sight Individuals," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Ikechukwu Chiwueze Oguoma & Thomas Mbah Acho, 2014. "Mathematical Modelling of the Spread and Control of Onchocerciasis in Tropical Countries: Case Study in Nigeria," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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