I'll give you an example of a divine person: God the Father. I'll give you an example of a human person: the apostle Paul.
According to Roman Catholic orthodoxy (note: cite it), is Jesus Christ a human person, a divine person, both, or none?
According to Chalcedonian Doctrine (that is shared by Eastern Orthodox, Roman Catholics and Protestant churches) Christ is fully God and fully human.
Christ is however one person which is both God and human. He isn't a person of God that dwelled in a separate human person (which is the teaching of nestorianism).
The Oriental Orthodox (e.g. Coptic) churches reject the teaching of Chalcedonian Council, however they mostly declare, they are not monophysitic. The argument here is partly about the meaning of the work 'nature'.
In Chalcedonian Council, a letter from Pope Leo I called "Epistola Dogmatica", was endorsed which explains the mystery of the Incarnation.
Pope declared that :
Chalcedonian Council, also adopted a document saying:
We teach . . . one and the same Christ, Son, Lord, Only-begotten, known in two natures, without confusion, without change, without division, without separation.