Emulation

as it is used in this verse, means,

Jealousy; envy; striving to do more or be better than another, with the desire to depress him or her,
and gain carnal favors
or honors.

 

Now the works of the flesh are manifest,
which are these;
Adultery, fornication, uncleanness, lasciviousness,
Idolatry, witchcraft, hatred, variance, emulations,
wrath, strife, seditions, heresies,
Envyings, murders, drunkenness, revellings, and such like: of the which I tell you before,
as I have also told you in time past,
that they which do such things
shall not inherit
the kingdom of God
Galatians   
5:19-21