Dynamic equations of node degrees in growing networks with connection losses

A model of growing networks (social, telecom, collaboration, etc.) taking into account random connection losses among participants of a network in the course of its evolution is proposed and investigated. A significant effect of connection losses on the dynamics of network growth and on the node distribution is established experimentally. Based on the random graph theory with nonlinear preferential attachment rule, the dynamic equations are derived, these equations take into account lost connections and allow us to describe and predict adequately the evolution of growing networks, and to affect the course of their evolution.