Fractional Order SIR Model of Buruli Ulcer Disease

Bonyah Ebenezer, Grace Frimpong and Amina Abubakari
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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

Academic Journal of Applied Mathematical Sciences, 2016, vol. 2, issue 1, 1-10

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.

Keywords: Buruli ulcer; Invariant region; Adams- Bashforth predictor corrector method; Fractional differential. (search for similar items in EconPapers)
Date: 2016
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