INVESTIGATIONS ON THE CHAOS IN A DYNAMICAL MODEL CORRESPONDING TO A SIMPLE SIR MODEL: ANDRONOV–MELNIKOV APPROACH, SOME SIMULATIONS

Abstract

In this article, we consider a modified differential system with a specific potential, containing N number of free parameters, which could be of interest to specialists working in the field of epidemiology. The model correspond to a simple SIR model. With a specially developed software product, we generate the Melnikov equation M(t) = 0 and examine all its zeros. This opens up an opportunity for the researcher to correctly understand and formulate the classical Melnikov criterion for the possible occurrence of chaos in the dynamical system. Several simulations are composed.