Almost Periodic Solutions for a Discrete Leslie System with Time Delay and Feedback Controls

Abstract

A discrete almost periodic Leslie predator-prey system with time delay and feedback controls is considered.By applying the difference inequality and constructing the suitable Liapunov functional,some sufficient conditions are obtained for the permanence and global attractivity of the system.Further,by using an almost periodic functional hull theory,we show that the almost periodic system has a unique strictly positive almost periodic solution which is globally attractive.