Positive periodic solutions of delay difference equations and applications in population dynamics

With the help of continuation theorem based on Mawhinʹs coincidence degree, the existence of a positive periodic solution of the delay difference equation x ( k + 1 ) = x ( k ) exp { F ( k , x ( k - τ 1 ) , … , x ( k - τ n ) ) } is studied. When these results are applied to some special delay population models, some new results are obtained.