Alizard lay on a rock to heat it's body. what is this called

The act of controlling body temperature is called thermoregulation. For example, a lizard can raise its body temperature by going in the sun, and cool it down by going under a rock

Thermoregulation

Explanation:

Thermoregulation is the process of keeping body temperature regulated at a constant rate.

if the hares very faster than they are now, and thus the lynx's hunting success rate drops because it will be harder to catch them, the rate that will change will be the pray-rate. the pray-rate will change because more hares will be able to survive, thus more individuals for reproduction, so the end result will be increasing population of hares.

the predator-rate will remain pretty much the same because there will be more than enough pray, but the hunting success rate is stagnant.