The article discusses new ways to model interest rates using multiple curves, similar to the Libor market model. The researchers focus on discrete tenor structures and compound interest rates, reflecting real-world market practices. They introduce models for forward OIS rates and Libor rates, or their spreads, under martingale measures for pricing derivatives. The study presents a framework extending the classical Libor model to multiple curves, an affine Libor model based on martingales, and modeling using Libor-OIS spreads. Different methods for pricing derivatives are also discussed.