cocci vs staphylococcus

cocci and staphylococcus both are nouns.

Word	Noun	Adjective	Verb	Adverb
cocci	Yes	No	No	No
staphylococcus	Yes	No	No	No

As nouns, staphylococcus is a hyponym of cocci; that is, staphylococcus is a word with a more specific, narrower meaning than cocci:

cocci: any spherical or nearly spherical bacteria
staphylococcus: spherical Gram-positive parasitic bacteria that tend to form irregular colonies; some cause boils or septicemia or infections

Other hyponyms of cocci include staph, staphylococci.

cocci (noun)	staphylococcus (noun)
any spherical or nearly spherical bacteria	spherical Gram-positive parasitic bacteria that tend to form irregular colonies; some cause boils or septicemia or infections