Final answer:
The skin condition with intense itching of explosive onset, small papules and excoriated areas is most likely scabies, a contagious skin disease caused by a mite. Contact dermatitis and atopic dermatitis are less likely due to the pattern of onset and chronic nature, respectively.
Step-by-step explanation:
The skin condition described as intense itching of explosive onset with small papules and excoriated areas is most likely scabies. Scabies is a highly contagious skin disease caused by a mite called Sarcoptes scabiei. The intense itching is often worse at night, and the presence of burrows along with the papules is characteristic of a scabies infestation. Though contact dermatitis can cause itching and skin lesions, they are usually associated with exposure to a specific allergen and the pattern is not typically of explosive onset. Eczema, or atopic dermatitis, is also characterized by itchy rashes but tends to have a chronic course rather than an explosive onset. Scabies often requires prescription medications that kill the scabies mites, such as permethrin cream or oral ivermectin.