How would making bigger the population of a coyote affect the population of both rabbits and grasses

If you were to make coyote population bigger it would first affect the rabbits because with there being more coyote's they have to bring more food for the pack and with the rabbits being hunted more and more the grass that the rabbits would eat, is not being eaten then the grass will grow more often and more longer.

That is the circle of life in the wild.