We consider a time-continuous symmetric branching random walk over a multidimensional lattice with particles of several types and a Markov branching process at each point of the lattice. It is assumed that initially at each lattice point there is one particle of each type, and any particle can produce an arbitrary number of descendants of each type in the process of branching. For the transient random walk and the critical branching process, the effect of spatial clusterization of the population particles is studied.
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