Any owner of a dog or cat six months of age or older shall, each year, cause such dog or cat to be inoculated against rabies by a licensed veterinarian and provide the dog or cat with a collar or harness and attach thereto an official rabies vaccination tag which shall be worn by the dog or cat at all times; however, if the vaccine used is one recognized by the State of Illinois Department of Agriculture, for a three-year period of immunity and the dog or cat is over 12 months of age at the time of the inoculation, the interval between inoculations may be extended three years. The type and brand of anti-rabid vaccine used and the method of inoculation shall be approved by the Department of Agriculture. Any dog or cat which is not inoculated against rabies as required herein is hereby declared to be a nuisance and such dog or cat may be apprehended and impounded upon the order of the Chief of Police.