Answer:
The hare population would most likely undergo logistic growth.
Step-by-step explanation:
If conditions for them improved, the hare population would undergo an exponential growth. Then the lynx population would rise to match the exponentially growing numbers of hare. They would eat more hare and populations would stabilize at carry capacity limit.
Their populations fluctuate, one after the other, in a predictable way: when the snowshoe hare population increases, the lynx population tends to rise.