Positive periodic solutions of nonlinear dynamic systems with applications to Lotka-Volterra dynamic systems with discrete and distributed delays

Abstract

In this paper, we use the Gustafson and Schmitt version of a fixed point theorem in a cone to show the existence of positive periodic solutions for nonlinear dynamic systems with discrete and distributed delays on time scales. As an application, we prove the existence of positive periodic solutions for Lotka-Volterra dynamic systems with discrete and distributed delays.