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In the biological environment, there has been created epidemiological models that attempt to explain the spread dynamics of an epidemic in a population to predict the behavior of possible epidemics that can affect humanity. Based on that, this paper focused on the study of epidem-ics worms because they can spread by themselves from one infected host to the entire network of susceptible hosts. In this paper we analyzed the susceptible-infected ( SI ) model which assumes that in a community with n individuals, the num-ber of individuals in the susceptible state S ( t ) are in direct contact with the number of individuals that are in infected state I ( t ). These last individuals can spread the infection or switch to an infectious state with the factor β as a speed of infection. This model is based on differential equations so it can-not be implemented directly on a computer. Due to the complexity of this model, it is proposed an approximate model based on finite different equa-tions to achieve a simulation of the epidemic us-ing a set theory and cardinality obtaining an itera -tive numerical method which consists on basics arithmetic operations. Additionally, having in mind this is an approximate model, it will be pre-sented an error due to truncation or rounding. At the end of this paper it will be presented a case of study developed in Simulink of Matlab software, and the results of the model based on difference equations is compared with the finite-difference approximate model including the analysis of ap-proximation errors.

Aproximación numérica del modelo epidemiológico SI para la propagación de gusanos informáticos, simulación y análisis de su error