Abstract
We consider a flow of substance through finite-size channels consisting of chains of nodes connected by edges. The nodes of the channels are connected to the nodes of another network: each node of the channel is connected to only one node of the network. We can think about such a situation as logistic channel consisting of stoting facilities that are connected to a city from a network of cities. The following processes can be observed in a node of the migration channel: exchange (inflow and outflow) of substance with the previous node of the channel; exchange (outflow and inflow) of substance with the next node of the channel; exchange (inflow and outflow) of substance with the environment; leakages: exchange (outflow and inflow) of substance with the correspndent node of the network that is coupled to the chain of nodes of the channel. We discuss statistical distributions of the substance in the nodes of the studied channel. Studied model has numerous applications, e.g, in migration channels, in sceintometrics, in logistics, etc. [1],[2].
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