Mathematical analysis of an epidemic through qualitative analysis with a third order model

The present article exposes the analysis of the dynamic model of an epidemic, which from certain considerations pretends to present the way in which for a given population the dispersion of a virus can occur, initially the preliminary concepts of the theory are exposed of dynamic systems to then incur the qualitative solution forms of greatest use in the specialized literature, finally the third order dynamic model of the epidemic is exposed, where the considerations and analysis procedures to obtain the final results are shown.