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

With the help of continuation theorem based on Mawhin's coincidence degree, the existence of a positive periodic solution of the delay difference equationx(k+1)=x(k)exp{F(k,x(k-τ1),…,x(k-τn))}is studied. When these results are applied to some special delay population models, some new results are obtained.