stochastic

Time delay and nonlinear incidence effects on the stochastic SIRC epidemic model

This paper presents theoretical and numerical study of a stochastic SIRC epidemic model with time delay and nonlinear incidence.  The existence and uniqueness of a global positive solution is proved.  The Lyapunov analysis method is used to obtain sufficient conditions for the existence of a stationary distribution and the disease extinction under certain assumptions.  Numerical simulations are also elaborated for the considered stochastic model in order to corroborate the theoretical findings.

The principle of creating a "smart" electricity meter in electric traction networks with stochastic electromagnetic processes

Voltage and current are sharply variable random (stochastic) processes in traction networks of DC electric transport systems. As a result, electronic and hybrid electricity meters used in electric systems measure electric power with a large relative error that significantly exceeds that of their accuracy class. In this paper the principle of developing smart meters for accounting the electricity transmitted from traction substations to electric rolling stock through a traction network is proposed.