Positive periodic solutions of delay difference equations and applications in population dynamics (Q1763657)

Using a continuation theorem based on Mawhin's coincidence degree, which can be found in the book of \textit{R. E. Gaines} and \textit{J. L. Mawhin} [Coincidence degree, and nonlinear differential equations, Berlin-Heidelberg-New York: Springer (1977; Zbl 0339.47031)], the authors study the existence of a positive periodic solution of the delay difference equation of the form \[ x(k+1)=x(k)\exp\{F(k,x(k-\tau_1),\cdots,x(k-\tau_n))\}. \] In the end of this paper, the authors apply the main results to some population models and obtain some new results.