Membrane technology can be the next step in Hydrogen production since its temperature and pressure characteristics make it an competing process, though the membrane price is a serious obstacle for its development. Computer analysis through MATLAB modelling has been the heart of this research. Mathematical models have indeed to be developed in order to obtain membrane reactor performances, leading to a physical development of the process. Multiple parameters have effects on the system, and different models can be developed. This thesis has been written as a fulfillment for my Master of Science degree, in Chemical Engineering.