This article studies the processes in large-scaled road traffic networks. The described system applies a new dynamical model considering the real circumstances. The validation of the model is performed with cross-section traffic data and velocity measurement of GPS-equipped cars participating in the traffic. The model was set up during the modeling process of the city of Győr. Keywords class of positive systems · large nonlinear dynamic network model · modeling of transport processes · validation · road transport processes analysis IntroductionThe theory in question applies to systems belonging to the class of positive systems.To this class belong, for example, fluids moving dynamically between reservoirs in a network, where Euler's law of conservation of mass holds, and the basic structure is the interconnected network itself, Bastin, G. (1999). These models are used to describe the multitude in different systems, for example, in traffic systems, that manage the flow of cars on the road, or the flow of aircrafts in the airspace in that the control is performed with groups of computers Fu, Y. et al, (2006).In the case of macroscopic models the traffic is treated as a flow of a medium applying the so-called liquid or gas flow approach. Macroscopic models were studied to describe the traffic flow using the analogy between the traffic and fluid flows as the starting point in Lighthill, M