Plasma immersion ion implantation (PIII), a high-dose rate implantation technique, has vast applications in the area of semiconductor electronics, in surface modifications of biomaterials and even in the development of various nano-structures. In this technique, the target is immersed in plasma and the implantation is done by accelerating the ions with a negative pulse voltage, applied to the target. There have been continuous efforts for the development of dynamic sheath models for a PIII system in estimating the impurities to be doped. In this paper, an effort has been made to compare the two models developed for a multispecies collisionless PIII system, one being developed by Qin, et. al. and the other being suggested by the author. To illustrate the comparative study of these two models, various parameters have been computed and compared by considering a mixed plasma of He and Ar species, when a negative pulse of potential 15 KV and with pulse time of 10 µs is applied to the sample.