equine vs Equus quagga

equine and Equus quagga both are nouns.

Word	Noun	Adjective	Verb	Adverb
equine	Yes	Yes	No	No
Equus quagga	Yes	No	No	No

As nouns, Equus quagga is a hyponym of equine; that is, Equus quagga is a word with a more specific, narrower meaning than equine:

equine: hoofed mammals having slender legs and a flat coat with a narrow mane along the back of the neck
Equus quagga: mammal of South Africa that resembled a zebra; extinct since late 19th century

Other hyponyms of equine include Equus caballus, horse, ass, mule, hinny, zebra, quagga.

equine (noun)	Equus quagga (noun)
hoofed mammals having slender legs and a flat coat with a narrow mane along the back of the neck	mammal of South Africa that resembled a zebra; extinct since late 19th century

equine (adjective)	Equus quagga (adjective)
resembling a horse
of or belonging to the family Equidae