Astatic character
has only one or two developed traits
is not influenced by events around him
changes, or grows, according to the occurrence in his life

A static character is not influenced by events around him.  It is the second main type of the character in the story that does not change and stays the same from the beginning until the end. It is the exact opposite of a dynamic characters, someone that changes based on the events and the circumstances of the story. The actions and even the decisions made by a static character stays true to its personality from the start until the story draws to a close.