How can the Population of a Prey be linked with the Population of a Predator?

-If the Population of the Prey Increases, so does the Population of Predators. The Opposite is true -However, If the Prey Increases, it takes time for the Predator to Increase as well, because of the Hunting and the Reproducing -So This means that the Predator-Prey Cycle is Very Interdependent.