Gatabazi , Paul (PhD)
Mr Gatabazi was born at Gicumbi in the Northern Province of Rwanda. He obtained a BSc in Applied Mathematics from the National University of Rwanda and a MSc in Mathematical Statistics from the University of Johannesburg. He enrolled for a PhD at the University of Johannesburg in 2016 where he is now lecturing Mathematics. Mr Gatabazi analysed three classes of Lotka-Volterra Dynamical Systems; Grey, Fractional Grey and Variable-order Fractional Grey Lotka-Volterra dynamical systems of nth dimension, n={2,3}, with application to the social adoption of three selected cryptocurrencies: Bitcoin, Litecoin and Ripple. The 2-dimensional study applied to Bitcoin and Litecoin, while the 3-dimensional used Bitcoin, Litecoin and Ripple. This study indicates a future increase in transacting in Bitcoin and a future decrease in transacting in Litecoin and Ripple, with Litecoin maintaining a higher transaction count than Ripple. The error sequence patterns and the mean absolute percentage error criterion were assessed, and suggested a relatively higher accuracy of the variable-order fractional Grey Lotka-Volterra model in 2- and 3- dimensional framework. The study shows that the performance of the Grey Lotka- Volterra model is lower as compared to models based on fractional calculus. The thesis produced four papers in peer-reviewed journals and were presented in international conferences.
Supervisor: Dr JC Mba Co-supervisor: Dr E Pindza (University of Pretoria)
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