It is clear that invasive species do have their invasion boundaries, and the boundaries are constrained by the differences between their home and alien ecosystems. However, such constraints are weakened for some particular species due to their strong adaptability. From the information-processing perspective, species, as information-processing systems, are more likely to invade the habitats (infosphere) with features compatible with their systems. Low compatibility results in poor information exchange with the new infosphere, leading to the malfunction and eventual cessation of the system. Suppose the system has a large range of compatibility (strong adaptability) to maintain its information exchange with the new infosphere. In that case, it can persist, adapt, and eventually become invasive to the new infosphere, completely different from the native one.