Pursue is a command that causes your character to follow another without their consent. The other character may choose to lose you. This will match your adventuring.movement.following.pursuit against their adventuring.movement.following.evade.
It is also possible to suppress your ability to evade and lead on someone with the setting:
options combat suppress_evade=on
Those who are being led in this fashion get skill checks to notice this.
Some npcs use another form of pursuit when in combat. This isn't the same as the command, and they don't follow you into the room immediately--instead, they enter the room they saw you go into after several seconds.
Many npcs in cities use this.