per·se·ver·ance/per·sist

PERSEVERANCE1. steady persistence in a course of action, a purpose, a state, etc., esp. in spite of difficulties, obstacles, or discouragement.
PERSIST
1. to continue steadfastly or firmly in some state, purpose, course of action, or the like, esp. in spite of opposition, remonstrance, etc.: to persist in working for world peace; to persist in unpopular political activities.
2. to last or endure tenaciously; To hold firmly and steadfastly to a purpose, state, or undertaking despite obstacles, warnings, or setbacks.