Thayer's Greek Lexicon

 1. to make to run or flee, put to flight, drive away
2. to run swiftly in order to catch a person or thing, to run after
  1) to press on: figuratively of one who in a race runs
swiftly to reach the goal
  2) to pursue (in a hostile manner)
3. in any way whatever to harass, trouble, molest one
  1) to persecute
  2) to be mistreated, suffer persecution on account of something
4. without the idea of hostility, to run after, follow after: someone
5. metaph., to pursue
  1) to seek after eagerly, earnestly endeavour to acquire