For people saying there were no pets mentioned in Bible:
"There were two men in a certain town, one rich and the other poor. 2 The rich man had a very large number of sheep and cattle, 3 but the poor man had nothing except one little ewe lamb he had bought. He raised it, and it grew up with him and his children. It shared his food, drank from his cup and even slept in his arms. It was like a daughter to him."
2 Sam 12:1-4
And we know this sheep was killed by another man in this image.
Emotional reaction of king David:
David burned with anger against the man and said to Nathan, “As surely as the Lord lives, the man who did this must die! 6 He must pay for that lamb four times over, because he did such a thing and had no pity.
2Sam 12:5-6
So yes, ppl have always had emotional relationships with their animals. Modern age only changed the kind of animals taken as pets. They were poorer so they needed pets that could also serve them, like dogs or sheep. We can afford pets only for the purpose of relationship.
That suggests to me that they will be at peace with one another, instead of the lion trying to kill and eat the lamb.. It also tells me that is the way God ORIGINALLY intended animals to be, friends instead of enemies/predators. 
