This document analyzes a discrete-time host-parasitoid model that incorporates both Allee effects for the host population and aggregation effects for the parasitoid population. The model is described using difference equations. Fixed points and local stability are analyzed mathematically. It is found that adding Allee effects can simplify the population dynamics by making the system less sensitive to initial conditions and compressing the dynamics. The inclusion of Allee effects and aggregation effects provides a more biologically realistic model of host-parasitoid interactions compared to previous models.