Abstract
Solving analytically nonlinear dynamical system in continuous time scale is often problematic. The accumulation generating operations provide a tool of formulating a discrete dynamical form whose properties are relatively close to that of corresponding nonlinear systems. The present study discusses threes versions of 2- and 3- dimensional discrete Lotka-Volterra dynamical system with application to cryptocurrencies adoption. The application is interested on 3 cryptocurrencies namely Bitcoin, Litecoin and Ripple. The 2-dimensional application is on Bitcoin and Litecoin while the 3-dimensional application is on Bitcoin, Litecoin and Ripple. The dataset include records from 28-April-2013 to 10-February-2018 which provide forecasting values for Bitcoin and Litecoin through 2-dimensional study, while records from 7-August-2013 to 10- February-2018 provide forecasting values of Bitcoin, Litecoin and Ripple through 3-dimensional study. The thesis has produced four papers that have been published and presented in international conferences.
Ph.D. (Mathematics)