MATHEMATICAL MODEL APPLIED TO THE DESCRIPTION OF THE TEACHING PROCESS- LEARNING

Abstract

A system of differential equations is presented to model the teaching-learning process of a person considering that there are
relationships between the contents to be learned. A population dynamic inspired by a variant of the well-known SIR
epidemiological model, with non-constant population, is used. Making an analogy with it, the classes of susceptible, infected and
recovered are identified, with knowledge that can be learned, learned and forgotten, respectively. The algorithms that simulate the
learning dynamics are presented and the data obtained from this process are compared with the numerical results of the proposed
models. To do this, adjustments are made to their parameters, and their variations between the different model proposals are
analyzed.