The fundamental diagram of pedestrian model with slow reaction

► We propose a slow reaction (SR) model to describe the pedestrian's delayed reaction. ► The simulation data of slow reaction probability ps=0.3 fit the empirical data best. ► The RMS error of the mean velocity of SR model is smaller than that of standard LG model. ► We observe stop-and-go waves and phase separation in pedestrian flow by simulation. ► The SR model can reproduce the evolution of spatio-temporal structures of pedestrian flow.