The Covid-19 Pandemic has impacted all Latin American countries, which has become worse by having fragmented health systems and deep social inequalities, it is noteworthy that public policies are formulated based on general economic principles such as the law of dynamic equilibrium, assuming that all the processes that determine the socioeconomic evolution flow smoothly and continuously, taking out of consideration the occurrence of contingencies and emergent events that force all social action levels to adjust their plans and strategies, for which it is necessary to evaluate the impacts that this pandemic has caused in Latin American countries (Argentina, Brazil, Chile, and Colombia), which allow us to know the evolution of the disease in these countries. The objectives of this article are: Provide evidence that fractional models are easily adaptable to the evolution of the virus in populations from different socioeconomic contexts; Know the behavior of the disease in the study countries from the parameters of the best approximation of the model in contrast with the real data of the infection; For the modeling, systems of differential equations will be applied and for the calculation of the optimal coefficients, the method of Markov Monte Carlo chains (MCMC) will be implemented to estimate model parameters.