Final answer:
Epic poetry is the writing influenced by The Odyssey and The Iliad, including works like The Aeneid and Paradise Lost.
Step-by-step explanation:
The writing influenced by The Odyssey and The Iliad is often referred to as epic poetry. Epic poetry is a genre of poetry that tells the story of a hero's journey and often includes supernatural elements. Some examples of epic poetry influenced by The Odyssey and The Iliad include The Aeneid by Virgil and Paradise Lost by John Milton. These works follow the structure and themes established in The Odyssey and The Iliad and explore similar concepts such as heroism, fate, and the role of the gods.