The hair loss and redness around the dog's eyes may be caused by ringworm, bacterial infection, mosquito bites, etc. You can use a cotton swab dipped in an appropriate amount of pet-specific anti-inflammatory medicine to gently wipe the dog every day, or take the dog to the pet store in time. During the hospital examination and treatment, the dog should wear an Elizabethan collar to prevent the dog from scratching the affected area and causing infection, which would affect the treatment effect.