One of interactions of young active stars with interstellar gas is excitation of shock waves, that compress the gas and favour the formation of new generation of stars. Thus, a positive feedback between stellar and gaseous constituents is realized. When spread from point to point this interaction gives rise to a stationary wave of star formation. The properties of such a wave are analyzed both in homogeneous and clumped media. The stationary wave of star formation is a natural mechanism that can provide a coherent behaviour (such as global star bursts) of large star-gas systems. Particularly, the origin of extreme and intermediate halo populations in our Galaxy are possibly produced by large-scale star burst, that was initiated by stationary wave of formation of Population III stars.