Permanence and global attractivity of a discrete multispecies Lotka–Volterra competition predator–prey systems

In this paper, we propose a discrete multispecies Lotka–Volterra competition predator–prey systems. For general non-autonomous case, sufficient conditions which ensure the permanence and the global stability of the system are obtained; for periodic case, sufficient conditions which ensure the existence of a globally stable positive periodic solution of the system are obtained.