You searched for: “zoonotic
zoonotic (adjective) (not comparable)
Regarding a disease that is transmissible from animals to humans under natural condition: Infections that pass exclusively from an animal to a person is referred to as being zoonotic.

Zoonotic diseases from pets. Zoonotic Diseases or diseases from pets.

(Pets can give people so many things: love, attention, entertainment, company; as well as, infection)