Bred for centuries to be ratters and vermin finders: Cairn and Border terriers. As already stated, Rat Terriers. In fact, most of the
terrier breeds were developed to sniff out, track, dig out, and kill rats/vermin.
There are three breeds named "terrier" in the
Toy Group. Modern representatives of these breeds may or may not retain the ancestral ratting skills of their forebears. You'd need someone experienced with the breed to tell you for sure.
Owl boxes are very popular, at least in northern California, for giving owls a home. Many vineyards have used them for vermin control for decades. A family of barn owls can take down over 1,000 gophers or 3,000 voles in a year in open land; the linked website doesn't provide the numbers of rats. (Judging by the relative size, though, I'd estimate 2,000 or so.)
Cats, even large ones, take down mice. I'm impressed that Marilla took down weasels; wow... But rats are usually just a bit big for cats to take on. Cats' muzzles aren't as strong as those of the dogs bred for this purpose: look at the relative shapes. The terrier (I'm thinking here of the shape exemplified by the Manchester Terrier) can bite down and immobilize an adult rat almost immediately; most cats would be overmatched. Although a neighbor's cat patrols my veggie boxes, I don't expect him to de-rat the raised boxes, but he's an amazing mouser! and juvenile squirrel discourager!
My recommendations would be for a terrier or other high-prey-drive dog, or owl boxes. Too many raptors are killed each year by secondary poisoning for me to recommend rat bait. My own house has steel wool stuffed into the holes where we believe mice used to enter :twisted: until our cats took out the mice. It's been three years now since one of my cats killed a mouse in the house; we may finally have used enough steel wool!
From the
WildCare webpage: "In 2010 WildCare began an initiative to test raptors, foxes, bobcats and other predatory animals for base-line blood coagulation levels and potential rodenticide poisoning. Shockingly, analysis of the data shows 68.1% of tested animals shows a positive result for rodenticide in the blood."
WildCare has a list of non-toxic rodent-control measures, some of which are wildly inappropriate for people raising rabbits (I mean, really: humane live traps for RATS?!), but the list reminded me of one method I've used with success: the
RatZapper. Even though LargeGrayCat from next door tends the veggie boxes, I have seen rats on occasion running along our fence line.
So...I went to the hardware store and bought a RatZapper (Classic; it was $42 then, $50 now) and put it inside my compost box (a BioStack, in case anyone's interested) so the cat couldn't trip it and get hurt. The great appeal of the RatZapper, at least to me, is that you never have to see or even touch the dead rat: you simply place an opaque plastic bag or a paper bag over the end of the Zapper, slide the dead critter out into the bag, and re-set it for the next one. :twisted: No muss, no fuss, no more yucky rats. And they don't suffer or pose a threat to other animals: they die instantly due to the very way in which the RatZapper works.