Abstract
A two-dimensional reaction-diffusion front which propagates in a modulated medium is studied. The modulation
consists of a spatial variation of the local front velocity in the transverse direction to that of the front
propagation. We study analytically and numerically the final steady-state velocity and shape of the front,
resulting from a nontrivial interplay between the local curvature effects and the global competition process
between different maxima of the control parameter. The transient dynamics of the process is also studied
numerically and analytically by means of singular perturbation techniques.