A relationship in which one species consumes and the other is killed is known as

predation.

parasitism.

commensalism.

mutualism.

Predation

It can be explained in that way or also called Predatory/prey relationships.

Parasitism is when one is benefited and the other harmed (ie leech and human)

Commensalism is when one is benefited and the other not affected (Tree frog and rainforest tree)

Mutualism is when both are benefited (Bee eats honey and Flower is pollinated).