Stable periodic solution of a discrete periodic Lotka–Volterra competition system

This paper discusses a discrete Lotka–Volterra competition system. 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. Our results not only reduce to those for the scalar equation when there is no coupling but also improve and complement some in the literature.  2002 Elsevier Science (USA). All rights reserved.