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Approximate Solution of Tuberculosis Disease Population Dynamics Model

Author

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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, Hindawi, vol. 2013, pages 1-8, June.
    • Handle: RePEc:hin:jnlaaa:759801
    DOI: 10.1155/2013/759801
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    Cited by:

    1. Qureshi, Sania & Yusuf, Abdullahi, 2019. "Modeling chickenpox disease with fractional derivatives: From caputo to atangana-baleanu," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 111-118.
    2. Nabi, Khondoker Nazmoon & Abboubakar, Hamadjam & Kumar, Pushpendra, 2020. "Forecasting of COVID-19 pandemic: From integer derivatives to fractional derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    3. Atangana, Abdon & Qureshi, Sania, 2019. "Modeling attractors of chaotic dynamical systems with fractal–fractional operators," Chaos, Solitons & Fractals, Elsevier, vol. 123(C), pages 320-337.
    4. 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).
    5. Qureshi, Sania & Yusuf, Abdullahi & Shaikh, Asif Ali & Inc, Mustafa, 2019. "Transmission dynamics of varicella zoster virus modeled by classical and novel fractional operators using real statistical data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    6. 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).
    7. Abboubakar, Hamadjam & Kombou, Lausaire Kemayou & Koko, Adamou Dang & Fouda, Henri Paul Ekobena & Kumar, Anoop, 2021. "Projections and fractional dynamics of the typhoid fever: A case study of Mbandjock in the Centre Region of Cameroon," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    8. 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).
    9. Qureshi, Sania & Atangana, Abdon, 2020. "Fractal-fractional differentiation for the modeling and mathematical analysis of nonlinear diarrhea transmission dynamics under the use of real data," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    10. 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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