Neontology is a part of biology that, in contrast to paleontology, deals with living organisms. Wikipedia

Part of biology that, in contrast to paleontology, deals with living (or, more generally, recent) organisms. It is the study of extant taxa (taxa (such as species, genera and families) with members still alive, as opposed to (all) being extinct) Wikidata

The study of organisms living in the current era, as opposed to organisms that are extinct. Wiktionary

The study of organisms living in the current era. Wiktionary (translation)