Animals have a sensory consciousness as it were (or rather should probably be termed a sensory knowledge) the principle of which is their soul and the soul’s sensory powers such as the five external senses and interior sense powers such as the imagination and common sense which operate in conjunction with the body and bodily organs. Accordingly, the soul and its powers in animals and plants depend on a living body and its organs for their operation so that when an animal or plant dies and the body decomposes the souls of animals and plants cease to exist. Not that they are annihilated but they recede back into the potentiality of matter. Consequently, the souls of animals are not immortal.
Human beings like animals have a sensory consciousness (sensory knowledge) as it were, but they also have which animals do not have a spiritual and intellectual consciousness (intellectual knowledge) derived from their spiritual powers of intellect and will. The intellect and will, being spiritual powers of the soul, have an operation independent of the body or any bodily organ and so the spiritual human soul is incorruptible and immortal and survives the death of the body.
It’s possible that at the end of the world when God renews the entire creation and it takes on incorruptibility, God will create animals who will be incorruptible not because of the nature of their soul but because even matter or the bodies of things such as our own in the new creation is going to take on incorruptibility such as Christ’s and Mary’s bodies are now. I personally like to think that there will be animals, plants, and trees in the new and eternal creation. Various passages of Scripture mention animals in heaven such as the horses in the Book of Revelation. Whether this is purely symbolic I don’t know but it does mention it. Trees are mentioned in the new heavens and the new earth in Revelation too and, again, whether this is purely symbolic of spiritual realities, I don’t know.