Broadly contrasting fields:
* Ornithology: The study of birds
* Ichthyology: The study of fish
* Mammalogy: The study of mammals
* Entomology: The study of insects
* Botany: The study of plants
* Mycology: The study of fungi
Focusing on the absence of herpetological study:
* Non-herpetological: This simply means "not related to herpetology."
* Aherpetological: This is a less common word meaning the same as "non-herpetological."
The best antonym will depend on the specific context and what you are trying to convey.