In ecology, many evidences, such as the density of a species in a region and the interaction between individuals, can cause species dispersal, which involves species moving from one habitat to another. Thus, we focus on a situation in which a predator can change its motility speed according to its satisfaction with foraging prey in as predator--prey interaction. However, due to an inaccurate judgement, the predator sometimes determines their rate of movement. In this situation, we observe an effect of the predator`s judgement about dispersal strategy on their invasion. We consider a predator--prey interaction with nonuniform dispersal, called prey-induced dispersal (PYID), in which the motility of predator is high when the prey density is lower than some specific value. Otherwise, if the prey density is higher than a certain value, the predator moves slowly. To analyze the effect of PYID, we observe a model with Holling-type II functional responses under zero-flux boundary conditions. We conclude that the predator under PYID sometimes plays a negative effect their invasion. However, in most cases, nonuniform dispersal of predators following PYID promotes predator fitness. This work contains a joint work with Wonhyung Choi and Inkyung Ahn.