Aelian, On the Nature of Animals 17.17
“Amyntas in his work which he named Stages writes that in the Caspian land there are many herds of cattle and horses almost beyond counting. He adds this as well, that in some seasons an unconquerable plague of rats blights the land. He continues with evidence, saying that even though the rivers flow at that of year with a huge surge, the rats swim fearlessly and they even hold on to each other’s tales, biting down on one another, to form a bridge and they they cross the strait in this way.
After swimming into the farmland, he says, they grind down the roots of crops and swarm over trees and once they use their fruits for their meals they sever the branches too just because they are not able to eat them. For this reason, the Caspians—in order to ward off this invasion of rats and the ruin they bring—do not kill the predatory birds which come in turn, flying down from the clouds, and fulfill their nature by freeing the Caspians of this plague.
Caspian foxes are so numerous that they frequent both the sheepfolds in the country and they also appear in cities. By Zeus, a fox will show up in a house not to steal something or ruin it, but like some kind of pet. The Caspian foxes wag their tails just like pet dogs in our land.
The rats of the terrible plague afflicting the Caspians are almost the same in size when you look a them as the ikhneumenos of Egypt, but they are wild, and terrible, and they have teeth strong enough to cut and even eat metal. The rats in Teridon, Babylonia are like this too—and traders bring their skins to sell among the Persians. Indeed, these skins are soft and can be sewn together as a tunic to warm people. And they call them kandutanes, because it is dear to them.
Here is something amazing about these rats: if a pregnant female is caught and her fetus is removed, when the female fetus is dissected and examined, it also has a baby.”
᾽Αμύντας ἐν τοῖς ἐπιγραφομένοις οὕτως ὑπ᾽ αὐτοῦ Σταθμοῖς κατὰ τὴν γῆν τὴν Κασπίαν καὶ βοῶν ἀγέλας λέγει πολλὰς καὶ κρείττονας ἀριθμοῦ εἶναι καὶ ἵππων. ἐπιλέγει δὲ ἄρα καὶ ἐκεῖνο, ἐν ὡρῶν τισι περιτροπαῖς μυῶν ἐπιδημίας γίνεσθαι πλῆθος ἄμαχον· καὶ τὸ μαρτύριον ἐπάγει λέγων, τῶν ποταμῶν τῶν ἀεννάων σὺν πολλῶι τῶι ῥοίζωι φερομένων, τοὺς δὲ καὶ μάλα ἀτρέπτως ἐπινήχεσθαί τε αὐτοῖς καὶ τὰς οὐρὰς ἀλλήλων ἐνδακόντας ἕρμα τοῦτο ἴσχειν, καὶ τοῦ διαβάλλειν τὸν πόρον σύνδεσμόν σφισιν ἰσχυρότατον ἀποφαίνει τόνδε.
ἐς τὰς ἀρούρας δὲ ἀπονηξάμενοι, φησί, καὶ τὰ λήια ὑποκείρουσι καὶ διὰ τῶν δένδρων ἀνέρπουσι καὶ τὰ ὡραῖα δεῖπνον ἔχουσι καὶ τοὺς κλάδους δὲ διακόπτουσιν, οὐδὲ ἐκείνους κατατραγεῖν ἀδυνατοῦντες. οὐκοῦν ἀμυνόμενοι οἱ Κάσπιοι τὴν ἐκ τῶν μυῶν ἐπιδρομήν τε ἅμα καὶ λύμην φείδονται τῶν γαμψωνύχων, οἵπερ οὖν καὶ αὐτοὶ κατὰ νέφη πετόμενοι εἶτα αὐτοὺς ἀνασπῶσιν, καὶ ἰδίαι τινὶ φύσει τοῖς Κασπίοις ἀναστέλλουσι τὸν λιμόν. ἀλώπηκες δὲ αἱ Κάσπιαι, τὸ πλῆθος αὐτῶν τοσοῦτόν ἐστιν ὡς καὶ ἐπιφοιτᾶν οὐ μόνον τοῖς αὐλίοις τοῖς κατὰ τοὺς ἀγρούς, ἤδη γε μὴν καὶ ἐς τὰς πόλεις παριέναι. καὶ ἐν οἰκίαι ἀλώπηξ φανεῖται οὐ μὰ Δία ἐπὶ λύμηι οὐδὲ ἁρπαγῆι, ἀλλὰ οἷα τιθασός· καὶ ὑποσαίνουσί τε αἱ Κάσπιοι καὶ ὑπαικάλλουσι τῶν παρ᾽ ἡμῖν κυνιδίων <δίκην>.
οἱ δὲ μύες οἱ τοῖς Κασπίοις ἐπίδημον ὄντες κακόν, μέγεθος αὐτῶν ὅσον κατά γε τοὺς Αἰγυπτίων ἰχνεύμονας ὁρᾶσθαι, ἄγριοι δὲ καὶ δεινοὶ καὶ καρτεροὶ τοὺς ὀδόντας, καὶ διακόψαι τε καὶ διατραγεῖν οἷοί τε εἰσὶ καὶ σίδηρον. τοιοῦτοι δὲ ἄρα καὶ οἱ μύες οἱ ἐν τῆι Τερηδόνι τῆς Βαβυλωνίας (F 7) εἰσίν, ὧνπερ οὖν καὶ τὰς δορὰς οἱ τούτων κάπηλοι ἐς Πέρσας ἄγουσι φόρτον. εἰσὶ δὲ ἁπαλαί, καὶ συνερραμέναι χιτῶνές τε ἅμα γίνονται καὶ ἀλεαίνουσιν αὐτούς. καλοῦνται δὲ ἄρα οὗτοι κανδυτᾶνες, ὡς ἐκείνοις φίλον.
θαυμάσαι δὲ τῶν μυῶν τῶνδε ἄξιον ἄρα καὶ τοῦτο· ἐὰν ἁλῶι μῦς κύουσα, κἆιτα ἐξαιρεθῆι τὸ ἔμβρυον, αὐτῆς δὲ διατμηθείσης ἐκείνης εἶτα μέντοι καὶ αὐτὸ διανοιχθῆι, καὶ ἐκεῖνο ἔχει βρέφος.

There are not independent words for rat mouse in Ancient Greek.
μυόβρωτος: “mouse-eaten”
μυοδόχος: “containing mice”
μυοθήρας: “mouse-catcher”
μυοκτόνος: “mouse-killer”
μυομαχία: “a battle of mice”
μυοπάρων: “a small pirate boat”
μυόχοδον: “mouse dung”