APPLICATION OF THE “PREDATOR-PREY” MODEL FOR ANALYSIS AND FORECASTING THE SHARE OF THE MARKET OF MOBILE OPERATING SYSTEMS

Abstract

The study is aimed to analyze the dynamic behavior of indicators of the market share of operating systems of mobile devices using the modified Lotka-Volterra model. Using the solution of an optimization problem, the coefficients of a system of differential equations in the case of two and three competitors are estimated on the basis of real statistical data, and special points and properties of data from dynamic systems are investigated. Based on the numerical integration of the obtained equations, predictions are made of the market share of mobile operating systems Android and iOS.

Keywords

• operating systems of mobile devices
• model lotka-volterra
• competitive interaction
• predator-prey system
• equilibrium points
• forecast