There is a Summer / Autumn / Winter / Spring pattern in the Temperate zone, also affecting the Desert and the Grassland climatic zones and, a Wet / Dry pattern in the tropical north which includes the Equatorial, Tropical and sub-tropical zones.
Most likely, your lips are suffering from excessive dryness, or chapping. Actually, picking at them and peeling off the skin can worsen the situation, as this can make the dryness worse. It would be better to try applying a good lip balm or lip moisturizing lotion. This should help you break the cycle of dryness and peeling, but only if you can refrain from picking at the skin in the meantime.
It never goes away. When it swells, the skin appears striated/pinched and my lips get really dry. For the most part, the swelling remains flesh colored on top of the lip and the lower lips will have a string of red pustules. When the rash is not inflamed it still present and the skin burns, but it is less noticeable.