A Derivation to Drive

by Luis Betancourt

Submitted : Spring 2018

This project entails using my newly acquired knowledge of symmetric difference derivatives, the population growth logistic mode, and my first exposure to differential equations in order to model the businesses growth of the Uber ride company. The logistic model will be employed to investigate the growth of the Uber ridership in order to help me gain a better knowledge of the financial benefits of market share of Uber. The market share for Uber is said to dominant all rider hauling businesses with 48% in North America hauling a ride. Uber was the overwhelming victor, with 48% as compared to Lyft’s 4% (Wu, H. & Chakraborty, A. & Li, B. & Kenerley, C. 2008, p.403). I wanted to see if this level of success is sustainable until 2020 through a forecasted projection using logistic modeling. The raw data that had been reported by Uber from Jan. 2015 until Dec. 2016 was imported into Excel, and from this we obtained the logistic model parameters with the aid of Maple. After, obtaining these parameters, we used Maple to graph the daily ridership until the year 2020. In addition the logistic model will be evaluated using this source of data and conclusions will be made after.

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