  We present a minimal computational model to mimic the crowd in marathon race.
We aim to examine the influence of frontliners on crowd dynamics by comparing
the simulated races with and without their presence. The primary outcome of our
study revealed that the local velocity and density of the participants exhibit
a wave pattern similar to what is observed in actual races. Another important
result we obtained is that the travelling wave in the crowd consistently
propagates with a constant speed, irrespective of the system size under
consideration. The dynamic of participants in the longitudinal direction mainly
contributes for the velocity fluctuation and the fluctuation in the transverse
direction is suppressed. In the absence of frontliners, the fluctuations in
density and velocity weakens without significantly influencing the other
statistical and dynamical characteristics of the crowd. It is also observed
that the density wave travels faster than the velocity wave. Through this
research, we aim to enhance our understanding of crowd motion, which can inform
the development of effective crowd management strategies and contribute to the
successful control of such events.
