William Osler, Canadian physician, made the famous statement, "Age is a state of mind." If this is true, there is no fixed boundary between middle age (which I think equal to mid life) and old age. Because of genetic differences, some individuals age faster than ours. Also environmental differences (class, lifestyle, etc.) can make some women age faster than others (Gregorio Marañón), or men faster than their wives. Some individuals like the U.S. comedienne Joan Rivers have had so much plastic surgery, that they look ageless. So to answer Sedigheh's excellent question, age ranges are fluid, and I would be most surprised if anyone could cite trustworthy bibliography to fix rigid limits between middle age and old age.
And I found a document related to your answer and my question.
If every one is interested , can follow this: " World Health Organization (2007). Women, ageing and health: a framework for action: focus on gender, World Health Organization."