ИСТИНА

We consider a model of branching random walk on an integer lattice Z^d with periodic sources of branching and death. We assume that the branching regime is supercritical and for a jump of random walk the Cramér condition is satisfied. Our main theorem describes the rate of propagation of front of particles population in branching random walk with periodic branching sources when time goes to infinity. The proof is based on fundamental results established for general branching random walks.