Go ahead and get spay and neuter records from them provided by their vet and also their vaccination shots as well as any bite history.It might not be the animals fault and might be crappy animal owners that do not take care of their pets properly.

What if there is no vaccine?

Plus, the vaccine is getting rolled out which will curb the spread tremendously.

Require doctor's prescription and current vaccination records.

The market is dynamistic in nature, so I won't go as far as saying it has permanently changed.Certain factors are playing a major role in the rising prices we are experiencing today such as the move to suburban from urban centers; however, these trends might be short-lived depending on how well people receive the vaccine, literally I mean. 

The Addendum outlines proper care, vet / vaccination requirements, and behavioral expectations for the animal.

If somehow they are no longer able to provide for their pet (pet friendly property or financially for food/vaccines/etc.), then people should try to find a good home for their pet, not dump it at the pound.

Pets must be up to date on the vaccinations with a signed letter from their vet.  

Also please help me with the other required pet related prerequisties (like vaccinations history, behavioral aspects etc.) that landlord needs to be make sure while screening tenant with pets.

By January we will likely have a vaccine and none of this will be necessary, except maybe an additional stimulus check to help get us out of recession.