In Daniel 8-12, how can the Messiah and Michael both be our Prince?

Daniel 8:11 > It became great, even as great as **the Prince of the host**. And the > regular burnt offering was taken away from him, and the place of his > sanctuary was overthrown. Daniel 8:25 > By his cunning he shall make deceit prosper under his hand, and in his > own mind he shall become great. Without warning he shall destroy many. > And he shall even rise up against **the Prince of princes**, and he shall > be broken—but by no human hand. Daniel 9:25 > Know therefore and understand that from the going out of the word to > restore and build Jerusalem to the coming of **the Messiah, the Prince,** > there shall be seven weeks. Then for sixty-two weeks it shall be built > again with squares and moat, but in a troubled time. Daniel 10:13 > The prince of the kingdom of Persia withstood me twenty-one days, > **but Michael, foremost of the chief princes**, came to help me, for I was left there with the kings of Persia, Daniel 10:21 > "But I will tell you what is inscribed in the book of truth: there is > none who contends by my side against these **except Michael, your > Prince.**" Daniel 12:1 > “At that time **shall arise Michael, the great Prince who has charge of > your people**. And there shall be a time of trouble, such as never has > been since there was a nation till that time. But at that time your > people shall be delivered, everyone whose name shall be found written > in the book." From these six key passages, we learn that the Messiah is the Prince, and that Michael is our Prince. How can this be, and does this imply that we have two princes, or that the Messiah is the incarnation of Michael?