An anthroponotic disease, or anthroponosis, is an infectious disease in which a disease causing agent carried by humans is transferred to other animals. It may cause the same disease or a different disease in other animals. Since humans do not generally inflict bite wounds on other animals, the method of transmissions is always a "soft" contact such as skin to skin transmission. An example is chytridiomycosis which can be spread by humans with the fungus on their skin handling frogs with bare hands.

The reverse situation, a disease transmitted from animals to humans, is known as zoonotic.

It can also be defined as a human-to-human infection with no animal vector.

Many human diseases can be transmitted to other primates, due to their extensive biological similarities. As a result, centers that hold, treat, or involve close proximity to primates and some other kinds of animals (for example zoos, researchers, and animal hospitals), often take steps to ensure animals are not exposed to human diseases they can catch. In some cases animals are routinely immunized with the same vaccines given to humans.

More Info: en.wikipedia.org