The GLEaM - Global Epidemic and Mobility Model is a discrete stochastic epidemic computational model developed with the joint effort of Northeastern University (Boston, USA) and the Institute for Scientific Interchange Foundation (Turin, Italy). The simulation engine of the GLEaM model provides advice in understanding historical epidemics, identifying key mechanisms and spreading patterns, assessing the role of human mobility and the efficacy of containment strategies, as well as forecasting future scenarios. A policy application of the GLEaM model is GLEaMviz, a publicly available client-server software system which is suitable for modeling and simulating the epidemic spread at world level for transmissible diseases. GLEaMviz provides a user-friendly interface which does not require any proficiency in c++ or in the GLEaM code itself, but only previous knowledge about the infection disease under study. In this way the software is very recommended for crisis units.