Whenever it becomes necessary to safeguard the public from the danger of hydrophobia, the mayor, if deemed necessary, shall issue a proclamation ordering every person owning or keeping a dog or cat to confine it securely on his premises unless the dog or cat shall have a muzzle of sufficient strength to prevent its biting any person. Any unmuzzled dog or cat running at large during the time of the proclamation shall be seized and impounded, unless noticeably infected with rabies. All dogs or cats so noticeably infected with rabies and displaying vicious propensities shall be killed by the animal control officer or any law enforcement officer without notice to the owner. Dogs or cats impounded during the proclamation shall, if claimed within five days, be released to the owner, unless infected with rabies, upon payment of the impounding charges provided for in § 94.14. If unclaimed after that period, the dogs or cats may be summarily destroyed.