This project looked at, in a preliminary phase, the innovation indicators analysis for companies from food manufacturing sector according to the survey by DANE in this survey the companies are classified according its innovation level. After that, the mathematical foundations of the technological innovation diffusion were analyzed in three companies from agroindustrial sector in Colombia, moreover the variables involved in this phenomenon, in order to this, performance parameters such as sales and production quantity along the time, are studied. These parameters have behaved as S curves or logistic curve, this aims to analyze the inflexion points and some other technological innovation parameter through mathematical correlations. In order to build the S curves some mathematical models of logistic distribution were taken and after finding the model that fitted according to the data, the correlation was calculated with Statgraphics software, using this tool the constant values in the model were calculated. With the curves generated with the data of agroindustrial sector, using time series between one and five years and with the calculated value of the constants of the equation, the inflection points, the growing rates and the asymptotes were analyzed for each one of the purposed S curves to make conclusions about the innovation cycles, marketing strategies, protection time for the innovation and other performance parameters which are useful for the companies and the sector they belong.