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Fractional Order SIR Model of Buruli Ulcer Disease

Author

Listed:
  • Bonyah Ebenezer

    (Department of Mathematics and Statistics, Kumasi Polytechnic, Kumasi, Ghana)

  • Grace Frimpong

    (Department of Pharmaceutical Sciences, Kumasi Polytechnic, Ghana)

  • Amina Abubakari

    (Department of Medical Laboratory Technology, Kumasi Polytechnic, Ghana)

Abstract

Mycobacterium ulcerans (MU) has been recognized to be the cause of Buruli ulcer (BU). The association between the ulcer and environmental exposure is identified as a potential factor of spreading BU. The invariant region of the model is determined.  In this paper, we explored the power of fractional order in BU SIR model. We applied the Adams-Bashforth predictor corrector method to the proposed model. Numerical simulations are presented to illustrate the benefit of introducing a fractional model.

Suggested Citation

  • Bonyah Ebenezer & Grace Frimpong & Amina Abubakari, 2016. "Fractional Order SIR Model of Buruli Ulcer Disease," Academic Journal of Applied Mathematical Sciences, Academic Research Publishing Group, vol. 2(1), pages 1-10, 01-2016.
    • Handle: RePEc:arp:ajoams:2016:p:1-10
    DOI: arpgweb.com/?ic=journal&journal=17&info=aims
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