Aplicación de las ecuaciones diferenciales al problema de caducidad de los alimentos

Abstract

The expiration date is the date beyond which a product should not be consumed, even if the storage conditions have been respected. Beyond this date, the product may be hazardous to health. It is a figure that indicates the time that elapses from its preparation to its deterioration. Therefore, the aim of the present work was to study the various kinetic models described by ordinary differential equations and to implement them numerically with the help of mathematical software. The methodology implemented had a mixed approach, that is, qualitative and quantitative; it is qualitative, since we are going to study about the stability theory for Ordinary Differential Equations; to understand and explain the solutions in stable state and it is quantitative, we will concentrate on the mathematical and numerical analysis of the models as in the calculation of the food expiration dates; which supports a documentary type research. By means of this methodology, it was possible to analyze the stability, dynamic behavior and equilibrium points of each growth model and thus know which of them is the most suitable to find the shelf life of a food. In this context, it is concluded that by applying the various models, analyzing each of the parameters used, it will be more optimal to find the expiration date of the food.