pursuit
"The company is pursuing a new strategy to increase its market share."
present participle of pursue
"The detective was pursuing the suspect through crowded streets until he finally lost him in a busy marketplace."
In plain English: Pursuing means chasing after something you want, whether it is a goal, a person, or an object.
"She is pursuing her dream by studying hard for college."
following in order to overtake or capture or as accompaniment to such pursuit
"the fox fled from the pursuing hounds"
"listened for the hounds' pursuing bark"