Nonlocal competition and front propagation in branching-coalescence systems

The spatial invasion of a stable into an unstable phase is studied for the branching-coalescence process with nonlocal competition. Numerical experiments show that the threshold at the front leading edge, introduced by the discreteness of the reactants, allows for the nonlocal competition to affect the front velocity. However, the front still moves ballistically after a short transient period for any finite range competition length.