This thesis studies how activity affects front motion in a stochastic population of proliferating active Brownian particles. The numerical model consists of point-like particles undergoing translational and angular diffusion, self-propulsion, stochastic birth and death, and neighbour-dependent proliferation. Front velocities are obtained from the evolution of density profiles as the population expands into initially empty regions. In the non-active limit, the simulations recover the main scaling of the Fisher–Kolmogorov–Petrovsky–Piskunov (FKPP) equation with translational diffusion and net growth rate, although the measured velocities remain below the FKPP reference. For active particles, the effective-FKPP description becomes more appropriate when angular diffusion is large.
At low angular diffusion, particles near the leading edge retain their orientation for longer times, and representative snapshots show a tendency to point towards the empty region. Overall, the results identify orientational persistence as a key factor controlling the effect of activity on proliferating fronts.