Several nutrient-phytoplankton-zooplankton models with internal nutrient storage by phytoplankton are derived and analyzed. It is shown that there are thresholds beyond which the system is uniformly persistent. Variable-yield models with self-shading of phytoplankton are also considered. With respect to uniform persistence, our result demonstrates that the global dynamics of the system with shading are the same as those for which the self-shading mechanism is ignored.