What is the condition characterized by a chronic inflammatory skin condition with redness and pustules?

The condition characterized by chronic inflammation of the skin, with symptoms including redness and the presence of pustules, is indeed rosacea. This is a common skin disorder primarily affecting the face, often recognized by facial flushing and visible blood vessels, alongside small, red, pus-filled bumps. Rosacea typically worsens over time if not treated and can be triggered by various factors such as heat, spicy foods, alcohol, or stress.

In contrast, impetigo is a bacterial skin infection that usually presents with crusty sores and blisters, primarily affecting children. Psoriasis is characterized by red patches covered with thick, silvery scales and is an autoimmune condition, rather than being primarily defined by pustules. Eczema, or atopic dermatitis, is marked by itchy, inflamed skin and does not typically involve pustules in its general presentation. Thus, rosacea uniquely fits the description of chronic inflammation with redness and pustules.