Most likely it's not even the people's pets that are the carriers ... the people hang on to their dogs for dear life and are not allowed to walk them unless it's before dawn or after dusk - just not to offend anyone! It's the strays that fortunately got away and racoons being the most common carriers. Why not drop rabbie pellets into the woods for starters (read that was effective somewhere )and make it a law to vaccinate their animals including all the markets
Like I said all the chinese government cares about is money. If they kill all the pet dogs then the people have to pay to register more dogs and so on, so why should they care about it?
They also want the populace to fear them so they can keep control, this is how it ALWAYS works there.