Bradley is a cat chaser, and we own 2!
Our cats our house-cats and Buzz hides upstairs in the office all day. We have to literally pull him out of his hiding place at night to feed him.
Stella is a little more plucky. She's fed up with being chased, but is more feisty, so hangs around.
Sometimes Bradley stops the chase when I call him to me, sometimes not.
I've had this problem before introducing cats and dogs, but only for a couple of days.
Any advice? It makes me sad that Buzz is going into hiding.