  A system of interacting multiclass finite-state jump processes is analyzed.
The model under consideration consists of a block-structured network with
dynamically changing multi-colors nodes. The interaction is local and described
through local empirical measures. Two levels of heterogeneity are considered:
between and within the blocks where the nodes are labeled into two types. The
central nodes are those connected only to the nodes of the same block whereas
the peripheral nodes are connected to both the nodes of the same block and to
some nodes from other blocks. The limits of such systems as the number of
particles tends to infinity are investigated. Under regularity conditions on
the peripheral nodes, propagation of chaos and law of large numbers are
established in a multi-population setting. In particular, it is shown that, as
the number of nodes goes to infinity, the behavior of the different classes of
nodes can be represented by the solution of a McKean-Vlasov system. Moreover,
we prove large deviation principles for the vectors of empirical measures and
the empirical processes.
