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Great changes are taking place in Chinese economic and societal life during the last decade, which brings significantly increasing pressure to the transportation systems of most Chinese cities. For example, in Beijing, vehicles are now fiercely competing for the right of roads with the existing large amount of bicycles. Because many streets in Beijing are not fully channelized to separate vehicles and bicycles, such competition leads to notable growth of traffic accidents and decline of traffic efficiency. This important matter has attracted growing research interests recently. In this paper, a behavior modelling and simulation for conflicts in vehicles-bycicles mixed flow is proposed. The first part is driving-riding behaviors in vehicles-bicycles laminar flow, second part is a cellular automata model for vehicle-bycicle laminar flow, the third part is the simulation results and discussions, and the last part talks about the potential application.