Redes complejas para el entendimiento de la dinámica de pandillas en el Oriente de la Ciudad de Cali

Abstract

The objective of this research is to understand the dynamics of the behavior of gangs from the East of the city of Cali. Achieving three outcomes: the first is the description of the violent interactions between gangs of the communes 13, 14, 15 and 16, the second is the approach of a dynamic system of equations in difference that responds to a high rate of growth of gangs and the third result is the adaptation of a diffusive model in partial differential equations to understand the transmission of violent stimuli among different individuals. He is observed that there is a balance where gangs coexist, therefore they do not disappear but that they show a tendency to increase in size and number of acts of violence. Finally in the adaptation of the model of broadcasting is shown mathematically that young people or individuals who are vulnerable but have positive people to its around form a barrier so that this does not encourage to be violent despite being located in a sector of high level of violence.