  New Q-conditional (nonclassical) symmetries and exact solutions of the
hunter-gatherer-farmer population model proposed by Aoki, Shida and Shigesada
(Theor. Popul. Biol. 1996;50:1-17) are constructed. The main method used for
the aforementioned purposes is an extension of the nonclassical method for
system of partial differential equations. An analysis of properties of the
exact solutions obtained and their biological interpretation are carried out.
New results are compared with those derived in recent studies devoted to the
same model.
