This document proposes an analytical approach for modeling and predicting the replacement of old product lines with new innovative technologies. It presents a mathematical model adapted from Lotka-Volterra equations to analyze how the quantity of two competing products changes over time based on market capacity, growth rates, and competition between products. Graphs show how varying these parameters impacts when market saturation occurs and the quantities of each product. The approach allows qualitative analysis of how new technologies may displace old ones depending on market conditions.