Capacity drop due to the traverse of pedestrians

In this paper, we have proposed a simplified model to describe the traffic flow when there are pedestrians traversing the road. The numerical simulation shows that the capacity of the road decreases in the presence of pedestrians. If the traffic flow rate is small, the traffic flow is basically unaffected even if some pedestrians traverse the road. However, if the flow rate exceeds a critical value, the vehicles cannot pass without delay, and a traffic jam appears. We also discuss simplified conditions of the model and accordingly present a modified model, which predicts qualitatively the same results except with a different capacity.