A mathematical simulation model based on nonlinear ordinary differential equations is proposed, which interprets the transmission dynamics of the multibacillary leprosy (MB) and paucibacillary leprosy (PB), including an asymptomatic stage where a delay time is taken into account in the development of the disease. Simulations of the model are carried out, considering parameter values taken from the literature to interpret the behavior of different stages of the illness. It was deduced to reduce the epidemic impact it is necessary to apply a treatment to the population density who develops multibacillary leprosy disease.
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