What is the relation between common law doctrines of private nuisance and public nuisance?

A private nuisance is a civil wrong doing or when someone's behavior that is unreasonable, unlawful, or unwarranted use of one's property in a manner that it effects the enjoyment of another person's property.

Public nuisance is a much wider category of minor crimes ranging from health, public safety, comfort, morals, convince, or the welfare of a community.