As nouns the difference between fugitive and suspect
is that
fugitive is a person who is fleeing or escaping
from something, especially prosecution while
suspect is a person who is suspected of something, in particular of committing a crime.
As adjectives the difference between fugitive and suspect
is that
fugitive is fleeing or running away while
suspect is viewed with suspicion; suspected.
As a verb suspect is
to imagine or suppose (something) to be true, or to exist, without proof.