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In this paper, we investigate pedestrian flows by using a newly-proposed cellular automaton (CA) model, which is based on the floor-field model. The interaction of pedestrians includes completion and cooperation, respectively reflected by a modified dynamic field and a position-changing behavior. Then we utilize this model to research lane formation phase in counter flow problem, involving the probability of lane formation phase, the average number of lanes and the microscopic behavior of pedestrians.It is found that the interaction between pedestrians and the different significant influences of average density of pedestrian flow on the features of lane formation phase.