Epidemiological models with vaccination control in the study of COVID-19
Abstract
This article analyzes the development and application of differential equations in the analysis of epidemics using the epidemiological models SIR and SEIR. In the first part of the work, the equations defined by both models are mathematically analyzed. Subsequently, the development of an epidemic is numerically simulated and compared with the predicted mathematical behavior. In the second part of the work, we study how to control the evolution of an epidemic by means of vaccination methods. First, the changes involved in the application of a vaccine in the equations are analyzed. Subsequently, these models are numerically simulated to analyze the evolution of the population under different vaccination schemes. Finally, the models are put into practice to study the evolution of the COVID-19 epidemic in Mexico.
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