The correct description of the interaction of two biological systems for a specific purpose in the human body is:
Infection Defense:
As parts of the integumentary system, skin and nostril hairs help keep invading pathogens out.
Within the immune system, antibodies are produced by B lymphocytes to defend against invaders that enter.
In this case, the integumentary system and the immune system coordinate their actions to protect the body from pathogens, demonstrating a specific purpose – infection defense.