Such measures wouldn't even begin to put a dent in numbers here.
Right now they're trying to fast-track approval of some quite strong pesticides in an effort to control it, but some are worried about the collateral damage.[2]
Warning: Many pictures of mice dead and alive.
[1] https://www.abc.net.au/news/2021-05-11/farmers-step-up-battl...
[2] https://www.abc.net.au/news/2021-05-24/nsw-mouse-plague-farm...