Your cats are going to kill those Lynx. All native cats worldwide are dying-off from feline-specific diseases being spread by your man-made community-vermin house-cats. Makes you all proud, don't it.

5 endangered Florida Panthers DIED from 1 vermin house-cat infecting them with house-cats' FeLV disease.

How about this article explaining how your vermin stray house-cats' diseases are killing off ALL native cats around the world:

http://www.thenational.ae/news/uae-news/big-cat-owners-warned-to-keep-them-acres-away-from-feral-strays

Or a USA one:

http://rapidcityjournal.com/sports/local/feral-cats-pose-threat-to-birds-lions/article_8ec451c9-4b03-55a3-baa7-71ac577905cb.html