Periodic and almost periodic solutions of a nonlinear single species discrete model with feedback control

This paper discusses a nonlinear single species discrete with feedback control. First, for the periodic system, it is proved that under certain conditions there exists a unique positive periodic solution which is globally attractive. Moreover, we discuss almost periodic phenomena, and obtain some sufficient conditions which assure the unique existence and global attractivity of almost positive periodic solution. An example together with numerical simulation indicates the feasibility of the main result. Our results improve and complement some in the literature.