On the periodicity and global stability for a discrete delayed predator-prey model

摘要

In this paper, a discrete version of continuous non-autonomous predator-prey model with delays is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and globally asymptotically stability of positive periodic solution of difference equations in consideration are established. Finally, some numerical examples are given to verify the theoretical analysis.