  Complex systems often have features that can be modeled by advanced
mathematical tools [1]. Of special interests are the features of complex
systems that have a network structure as such systems are important for
modeling technological and social processes [3, 4]. In our previous research we
have discussed the flow of a single substance in a channel of network. It may
happen however that two substances flow in the same channel of network. In
addition the substances may react and then the question arises about the
distribution of the amounts of the substances in the segments of the channel. A
study of the dynamics of the flow of the substances as well as a study of the
distribution of the substances is presented in this paper on the base of a
discrete - time model of flow of substances in the nodes of a channel of a
network.
