A shared airport feeder vehicle-user selected model for time-varying network is established in this paper, which the space-time aggregation network is used to characterize the dynamic traffic road network and the time-varying network is constructed by the discrete time impedance. Based on the per-scheduling of airport feeder, the shared airport feeder vehicle-user selection model is established considering the constraints, such as the original scheduled user demand, flight time, vehicle detour time and resource limitation. According to the constrained programme and the branch-and -bound algorithm, a solution algorithm is proposed to quickly judge the demands of new users in real time, to realize the sharing of limited resources in the airport shuttle transportation system and to improve the feeder efficiency. The results show that the model and algorithm are rational and effective for solving the real-time new user demand in the airport feeder demand response system.