@oristarA,
It's traditionally referrred to as China's Great Famine, but there is a book called Mao's Great Famine so it seems that Great Famine is the phrase to use.
It would be like one of us deciding that oristarA is no different from orisunA because the sun is a star.
I guess my point here is that it is Great Famine, not 'a great famine'. It's the name of the event, not a random descriptor that you can change.