Pedestrian dynamics with mechanisms of anticipation and attraction

We study the pedestrian dynamics with the consideration of two heuristic mechanisms of anticipation and attraction. The former enables the individuals to anticipate potential collisions in terms of the state of surrounding environment and slow down their moving speed accordingly, while the latter reflects the tendency of the individuals following (or being attracted by) those peer partners with high moving speeds, trying to reach their destinations as quickly as possible. By tuning the interaction ranges of anticipation and attraction, we explore the collection motion behavior of the pedestrians in three common movement scenarios, i.e., the bidirectional pedestrian flows in a straight corridor, the crossing pedestrian flows in a square and the crowd evacuation in a room. Interestingly, with appropriate combinations of the anticipation distance and attraction distance, we reproduce the typical collective motion patterns of the pedestrians observed in the empirical studies, such as the formation and separation of global pedestrian flow lanes, the stop-and-go waves, and the vortexlike patterns as well. Particularly, we find that a strong attraction effect by the fast-moving pedestrian flows benefits the efficient passing only in the corridor case, whereas in the case of crossing pedestrians the avoidance behavior due to anticipation will play a dominating role in guaranteeing an ordered collective motion.