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Fuel cells are considered as one of the principal candidates to take part of the worldwide future clean and renewable energy solution. This paper presents a mathematical model of a proton exchange membrane fuel cell (PEMFC) with its integrated humidifier, in which the dynamic behaviors are considered for mobile applications. The model will be integrated in a hybrid system and it was developed on the mass balance and electrochemical principles. The inlet air is humidified by a membrane-based passive humidifier which presents the advantage of not adding parasitic power loss in the system. The presented model is useful for co-simulation with electrical or hybrid vehicle model for power components conditioning purpose.