influence vs persuade

influence is a noun but persuade is not a noun.

Word	Noun	Adjective	Verb	Adverb
influence	Yes	No	Yes	No
persuade	No	No	Yes	No

As verbs, persuade is a hypernym of influence; that is, persuade is a word with a broader meaning than influence:

influence: induce into action by using one's charm
persuade: cause somebody to adopt a certain position, belief, or course of action; twist somebody's arm

As verbs, persuade is a hyponym of influence; that is, persuade is a word with a more specific, narrower meaning than influence:

influence (noun)	persuade (noun)
causing something without any direct or apparent effort
a power to affect persons or events especially power based on prestige etc
a cognitive factor that tends to have an effect on what you do
one having power to influence another
the effect of one thing (or person) on another

influence (verb)	persuade (verb)
shape or influence; give direction to	cause somebody to adopt a certain position, belief, or course of action; twist somebody's arm
induce into action by using one's charm	win approval or support for
have and exert influence or effect