Propose a mathematic model that shows how population structure affects the size of infectious disease epidemics.This study was conducted during 2004 at the University of Colima. It used generalized small-world network topology to represent contacts that occurred within and between families. To that end, two programs in MATLAB were conducted to calculate the efficiency of the network. The development of a program in the C programming language was also required, that represents the stochastic susceptible-infectious-removed model, and simultaneous results were obtained for the number of infected people.An increased number of families connected by meeting sites impacted the size of the infectious diseases by roughly 400%.Population structure influences the rapid spread of infectious diseases, reaching epidemic effects.