Abstract <p>The study and analysis of the problem of simulation modeling of multipath radio channels based on the use of systems of differential equations is carried out. Mathematical models of continuous communication channels, presented in the form of stochastic differential equations, as well as approaches to their practical application in creating physical channel simulators and developing algorithms for optimal signal reception, are considered. Particular attention is paid to non-Gaussian models described by nonlinear stochastic differential equations. Methods of analysis of such models, their construction on the basis of initial data on probabilistic characteristics of signals and interference, as well as identification procedures performed on the results of measurements on real communication lines are considered in detail. In addition to theoretical aspects, engineering issues related to the implementation of channel simulators functioning according to the specified principles are also covered. </p>