What are the similarities and differences between a predator-prey relationship and a herbivore-plant relationship?

In both relationship, Predator-prey and a herbivore-plant, the interaction is between two species in which one organism or species fed over other organism. in predator-prey relationship, predator is the species that fed over prey and in herbivore-plant relationship, herbivores are the species that fed over plants. So, both are type of predation .
In both relationship, one species dependent on other for their survival or food.
Both relationship controls the size of recessive species such as prey and plants in the environment.

Differences:

herbivore-plant has mutual interaction as herbivores eat plants and also helps plants to spread their seed and when animals die it decompose to the soil which is beneficial for plant growth while this is not same with predator-prey relationship, they have symbiotic relationship.
In herbivore-plant relationship, the plants are unable to move in order to defend themselves except some mechanical advantages while in predator-prey relationship, prey can move themselves and fight for their survival

Hence, predator-prey relationship and a herbivore-plant relationship have some similarities and differences as well.