Stable periodic solution of a discrete periodic Lotka-Volterra competition system with a feedback control

This paper discusses a discrete Lotka-Volterra competition system with feedback controls. We first obtain the persistence of the system. Assuming that the coefficients in the system are periodic, we obtain the existence of a periodic solution. Moreover, under some additional conditions, this periodic solution is globally stable. (c) 2006 Elsevier Inc. All rights reserved.