In this paper, we have mathematically modeled and analyzed the composite cavity Semiconductor Fiber Ring Laser for its use as an inertial rotation sensor or gyroscope. The rate equations of Semiconductor Optical Amplifier and the transfer function of other components in the configuration, viz. optical filter, output coupler and Y-junction coupler have been considered separately for modelling. The final output expression shows the effect of these components on the intensity of the beat signal. The frequency of the beat signal intensity is shown to be independent of the parameters of the components, which underlines the advantage of frequency-domain sensing. © 2016, The Optical Society of India.