The refraction of active waves is analyzed for a stable-metastable rea
ction-diffusion system consisting of two regions with different diffus
ion coefficients. The equations governing the evolution of wavefronts
are derived by means of an asymptotic perturbation method for boundary
layers. These equations describe non-stationary refraction near the s
teady state regime. It is shown that the dynamics of wavefronts separa
tes into that in the region near the boundary and that far from the bo
undary.