Every owner of any dog or cat over the age of three months shall, when procuring a dog or cat license from the City Clerk, present a certificate from a qualified doctor of veterinary medicine that such dog or cat has had immunization against rabies, and such certificate shall show the date of such immunization and the term of such immunization. The City Clerk shall not issue any dog or cat license until evidence is shown certifying a rabies vaccination of the dog or cat by a licensed veterinarian. If any dog or cat for which a license has been obtained shall not have attained the age of three months at the time of the licensing of such dog or cat, the owner shall, not less than 10 days after such cat attains the age of three months, secure immunization against rabies for such cat and present a certificate as required in this section to the City Clerk, who shall enter such certification in the records of the City. It shall be a violation of this section for any owner to own or possess a dog or cat within the City without furnishing a certificate of immunization against rabies in compliance with this section.