Satellite communication systems (SCS) operating on frequency bands above 10GHz are sensitive to atmosphere physical phenomena, especially rain attenuation. To evaluate impairments in satellite performance, stochastic dynamic modeling (SDM) is con-sidered as an effective way to predict real-time satellite channel fading caused by rain. This article carries out a survey of SDM using sto-chastic differential equations (SDEs) currently in the literature. Special attention is given to the different input characteristics of each mod-el to satisfy specific local conditions. Future research directions in SDM are also suggested in this paper.