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The dynamics analysis of multipath QoS-routing tensor model with support of different flows classes is presented. The novelty of the tensor model is a representation of its covariant and contravariant components and metric of the introduced geometrical space as a function of time. The QoS-routing guarantees for different flows classes with different metrics such as average packet rate and average end-to-end delay were proposed. The research results demonstrated that it is especially important to take into account the dynamics of network state changes in the conditions of high utilization of its interfaces, when the average packet end-to-end delay along the network paths behaves nonstationary, changing quite widely during the router update timer.