Any dog or cat which scratches, or digs into any flowerbed, garden, tilled soil, vines, shrubbery, or small plants, and in doing so, injures the same, or which habitually prowls around or over any premises, not the property of its owner or keeper, to the annoyance of the owner or occupant of said premises, or which overturns any garbage can or other vessel for waste products, or scatters the contents of same, or a dog which chases or kills any chicken or other domestic fowl, or animal, is hereby declared to be a nuisance. This section is in addition to, and not in contravention of, any other ordinances relating to dogs as a nuisance. (1991 Code § 3-3)