The relationship between the hawk and the mouse is that of predator and prey. The hawk, as the predator, hunts and ultimately kills the mouse, which is the prey. This interaction is a classic example of a predator-prey relationship in an ecological context.
Additionally, while the hawk's action directly results in the death of the mouse, it also affects the population dynamics of the remaining mice by reducing competition for food. This can potentially lead to a more stable environment for the surviving mice, as they may have access to more resources. However, it is important to note that this is part of a larger ecological system where such interactions play a crucial role in maintaining the balance of populations and ecosystems.