In this paper,a class of discrete time non-autonomous competing system with feedback controls is considered. With the help of differential equations with piecewise constant arguments,we first propose a discrete model of a continuous non-autonomous competing system with feedback controls. Then,using the coincidence degree and the related continuation theorem as well as some priori estimations,a suficient condition for the existence of positive solutions to difference equations is obtained.
Changjin Xu1,2,Maoxin Liao2(1. School of Math. and Statistics,Guizhou Key Laboratory of Economics System Simulation,Guizhou College of Finance and Economics,Guiyang 550004,2. Dept. of Math.,Central South University,Changsha 410083)
